I tcTeEr<fiqo o frGaqtrr+GoGe{r{{<sr< 'l6i-{<Tfrq{$BI a-$IrtFfl{ {qfrr$csrl qhG{cErql-< qi4$lfief$I"ts-{-< onq m{"< dfrs4|wfusfi€<1qqFtftstrr{ erssrfq(T' (Digio TrqrErdR, {stlt?Ek{EEs{ erfrs? q(Fr o fl {€q RITI {qfrF E€-$ ql qisrur€ q-{EF {$,Tk qlr{ 6d .l esI{ dl-c"r { sftfil r{-1&'FIl{ {$fiI {qfu {c4 r o corffi q&.l+lqqsll,T qqGls marB dfr'sqssTrTqkF<tqC , src+ &cs"BT qqB{frfr (Base) EqIqsr O Bit: Binary Digit o qitr ftb sFI Effs csF aiffi {$Elrs qm"<r eo fiE (syte) <fr r qo {tcB< w'fu qdn E< fui{ cTlr{{rf qE-<t<ft e+fr<aI (Nibble) rql-<]-{ qF<rt6<fu"tcliFlfiBfrcr"l6Eq{,{+F e$6 (word) r O I Word = l6 Bit:4Nibble= 2 Btte O uNix Er'l]-r<E( frd{ q qar{ Tl{{E qrsT I o q{frs frTrs pn6ix Point € {6{ r O Radix Point @ <lt{fr fr{ <T ftfrr frT, q?,le "16&@ qBl{ <I q?fra fr1I .{<( RgEsfiqle "lhfue 6qflrsfiqqftT{rf,1 O 1 Exablte = 1018 Blte. O MSB : Most Significant Bit O LSB : Least Significant Bit O Octat € Hexadecimal €( T{ISl-:t T'ffg< q<ffi q+ SjT Tt r s1Q ninary q6q a"lB< T-fi E{ I O LSD (Least Significant Digit) O qlffi qqfuE o - 1= 1q<(Borrow= 1 NI qqna nqry tfEG rg ffiBrmb'.rEn a qq q{rr6T{ fr"to <q<-qqcq< rfl6 elT{ fuN"t: ffir6 CQ M C a CQ M C a cQ M C a CQ M C ?t rl { 4 rl ri s 4 { rf { s ?t rt { a DlSl 2 2 2 2 6 2 2 2 2 5 2 2 2 2 5 1 I I 4 4i5.IQT 2 2 2 2 3 rqq c{6 I 2 2 5 I I 1 9 rE{]r[ 2 2 2 3 2 2 2 2 4 I I I 1 8 i'ffiD 2 2 2 2 5 2 2 2 2 5 1 I 1 ,7 <fr{rq 2 2 2 , 5 2 2 2 5 I 1 I '7 rl?iE 2 2 2 2 6 2 2 2 2 6 I I I 6 Tfodr 2 2 2 2 6 2 2 2 2 6 l 1 I 9 iE-{t'F?il 2 2 2 2 3 I I 6 I 1 1 6 ft.r. r"ap"t) " V,r" qm11tt li1a<i< a<r6 t€f€ qT6E qI aE {<l to:u clzE qOq r<nd qfrE E{";q T ?51 rr{6s <ti I \ qfucq<e\ansRw'REqL.. (ffi
o o o o 6, o o o o o o o o o o o o 6 o o o o o o o o o I o ICT aB<IJIqq : qqqg-oo <lffiqhrecr-qllr<tF€GRIffids-{imq<qsq4Eqfrksffi<rEqf<o-<tqsr er+Feffilsignedbit)<FIr et fie RE o E6E cs$lftT {{lV+,4<( I qr{ {q"BIErs $"ifw$ {{t q{ r affiqrqrmo q<{ttrr 1 ,q<( 1 q(qlrq 0<frcr, qdtqqi$RfrEgmlmEffic<, cr?mtrd 1 qa ffi1il{ (1's complement form) tt5-q "tfs{t qT r t-qn qR'Fm {lrel tmFf q<rq <tt{lR q({ll{ 2-q< 1R1il$ 2's complement 'll€{I {K t sT{fissftEtrm z e< tfr5-+ rafu{r<qk+<tq{r <4, c$Bt € frr"F fiRc{cqK <jffi-F T'iIgEr S[TrtS-{ qT I q {'l]-q< AfuTfm q{rst&( (Encodins) {Fr I +Fr€tr< Fntrq <lrqg EftE <4, csut <t frr"|{ frarr qIEIqlw{ {c}Pt-?ItrF mwtc-*r< qqr fr&< (0 <t 1 ) fiGN n-rinmqrqwqft -Qr(Unique){ir+obofr c<tqsreiqfrfrsqir<t\ors@ls(code){f, I{Tr BCD fiF Binary Coded Decimal. BCD 8421 CsNatural Binary Coded Decimal{ NBCD 6$fsi<ETq{ I csl6{t {sfircs frfiG 6srs eFFIrld q{r mFt FtB eTruf <lt{R c5t{ r ASCn-q< t{s4 q6{l- American Standard Code for Information Interchange. +FtEBt++q qri qffis lrffi Sfi -6 16 qsf fr fr6< qr+rv< <l ero l q {€{ ffi '[1Br{,4s qFI clrs w{i qlr{ <t {ct-?r qF q(t qcg qqr q\r"l qR-<.]fu +a< cr{ frGftsq qgffiF $r(DiT {{q B'rF sc4t E["B-d {rar qGR-q qeBFFqwfq{ €l r csrsl&s et ffiro "mRFffi <-+ qt r irtfiE-tD Ei qoR: (, ffi'lv 'B'fiF <I Qcoa ffiE pven parity; 1i1 firutg "mRE <t q-s 'rilRB (odd parity) frrt{ efB <V q-qq Elstrs $ftEft<{ csfsE@ Fifl< sT{I c 6sM Tl{qs ET gt Unicode 4tm "lRFs r <trsl slTEr <ftI{6{{ igfus 0980-u09FF s {c4R c(1I 1 28 I ASCII code rffistcqR.sF tGr.I<(Grq< e{c$trs{q-{] TFTqEET I BCD Ee[ Binary Coded Decimal q G?mqIE {(11-rs ml6s 6'rl-git sK T|{{< c<t e{ qt ,afr fi€rqR.s csfs I eeil{ Fr$r{ $rnt{ q"llr{.l6r 0 <Er(g 0 BIro 0.8 csf6; I <arF 2 (cli-r 5 ca-16 Tffiqf q{ r {l{l{cf 0.8 calr$ 2V rfiRh voltage {iII{{ fist{ c]lsIq-fiT{ sdt(.t { qFfqs c(?Br <I{q|3r F-<t {Br it r AND, oR, NoT &18 (frfrs operator t fim umrw+<t< <F{k"$ Ecltcr],ir q{r nr< frffiq tFr<tfi 's rIffi (r+<r{ qfi <l vtro q&-o cet!! <rq r m ro-q e&-r caQt q< {t$I{ {fr{r{ qnqrw{<Ir dfr's qfi6p.fF-?r <Ilrl,l s frAqq F-fi q{ qr[{CT dfrs cilt{m I dfr+ clb rrfr r (AND, oR, NoT) q<e&-s c'rrtEt<tvcotk+tqS s qsBqEt$ efl'rsr wnro' s&-s culri R <I sl< qfks I{S e eFF qtEB"F eilr$ r S efu-s G'ftr qsfi i-*$ e uoE wBAID oro r flc-s-qE&-ral6-{qI{rNq?F{!-?rr{<citE?sRrer<frfuq"llr<rt(*r{rFlit€frd<qc<t<mvEq<r$c,ffi{ 6fi!q5q1qffia c'jb {frr NAND € NoR) ffi s&-s cart Et <t Ersolfr{ R{t € esB qEiS em r Ijrs q&.r c'Ri Ei o st< qfr"o tqt e qsF qtWS efirs r es-q< s&-$ r]ltfirqtv cs"lr t Sc4\flEtS t C{ r qs-{< E&-+ c{6 ffilg{({rr 1 crq qEit 1 q{ I q{trFlsl-< qF (-im-?r E&-+ qtffi II qtqrli,tss csft-s 6sTrs-s 6dt{ qfrqsom r qRrstrsu reh: {r{[{d slst <f qlsTfiErnfr's <4 I rMm \\\ 1ffiffi q\EtrrRorf 'Ru"fl'... e
o 9 o 0 o o ICT EGFIIIqiF MICSS dI: BCD, ASCII, EBCDIC Is]lfr'CSIS I 8 to 3 qrB q{Ar q{rslsk I &c+rsk enffiffid E&-$ qlffi { (sls <t TP€ficn< 6Ft'fju sFfro qFlr+lcss (Uncoded) rett < qt*r< ffi{t{,sFrH qRqs6r<r wtgF qffi <I{qr{ <r< +FNbf< met, frcat{ M qn-s qfiK.Fr e{ GI'i Tirlit ll$-cra ocr afl-rs I cTlsF Et effid r {an (i) EIT wlsld (iD 1-q qivl-?r qT wtsft{< qR"c{i qffi Ee RE crFt s-{R sfq Fdt q{r EF Rt A € B Rltt srr Gt'fq{ s .4<( TIR c qWtRrryr<'nre{t${r ntfrB mtEt+<t<rr-* +Eq<qmIEqs r SFqll-slr<sllRfficslrK<I{Etcir m n6ftcs tttr RE is srR c<fot q{t <l{ vn-o 14 m'r< <r6ft <t 1n wfq< <r< | 1-qqlu< flE 3friqtFF Eqq+r< r Full Adder a< t{$ 3 6 Elt 23 = s F E{ &{ t{t cq-{t }rs< r >E tq qTMIr <Fke EE +o wtuK e esF q{ c'E! r-{<Fl-< Ec{ r <ffi fr6< mrq< <frro cqr qs qtsR clm r frqpq qn r<r+< otaiRffic st tfrffi 1o vrr+ 1) cs<EptTircu 'it-r<r qtfr-&{TtqEEr{q'lT<TQ{'F sqlfl<{t{fiqflffiq+co{Rr fr"r-pc"r<Qq"IrtmtrqtcdTnre\flEbt(tstffiffiore{[<qi1fue66E1 frErsffi<<R<qql'q<rEwsElE llil qEFTdqlE({?{1Et-<(silcRr'TftssqlEt'Fqqk<Gsatt6sr&t-:'r"KcgBt{<ctsTs]-'{q(qierf{FNtk mrqtR-< {E B4tqr{ <-qt c{ r sn sTlE ctffi {iE @ m c'i!! vrm nG n]rc a1d< frr"fr slc< c(({Ft Enfffi< qt{,r{ tsR qfl s{ I sR qll.E :nffi< qn t{$ s q<( R I q{Ir{ s e n frm set q<( Reset @ frc6'I Frd I sR ErTffi qtEb$ qF r{qI qrs q"Irf< f iAs Er qt qFft.T Q e src$+fto Q' Ekf Esl-'l F{t <r r cctq{Ir{.|r{ S = 1 s R = 0 q<(e = 1 ef|rsr R = 1. ((( S = 0 q<( Q = g $rsfrrrcBq{m'Ir{ I wcqElfrs qfr{fi (s = 1,R = 1) r fr't yc"r< qBnt q s q' "r<-"t< frtRs q< r qq{t<frqr+o erqt<ffiQq"Fsqtqt, qffi"$.asrE elnsqtu{rrrdqFFl6{ ersHeRstqrqtqIT<tEtrs <tffifrui-{rEgtqs<m{tftr ,5*qKf fiRo v$fcs q&Es qq (Positive edge)(FIr J EmG&Eq(.frs c+c{Es eq(EIE{r sR qrlcE< fic{ a{ qsB Fs "i]-sq i{t sr+tr< lg <q slt er$ s-s-s sn qfiD s <art Er* {16r r qF qE fr1-Fet-q< qqirr fl68 cq(ffi ffi{rr (<ffil-< <rq r sGF frq-p.f qs Ri dt (0 qemr ) {<"t <i-?Ic\g qfr< I otBtt< Rrqm m&,tr<m qFrqK e-fl {-{ I eetl-q FKtrq Ttqfr ir'r-IF ffi qsffi 6|{ sl-{t fl {I<qE: 6<mF <Frds Es I m r< mffit< m-+e dt mu { qF"l s-dl€ "ltc< El'trF etls <t <Frl:r mffit< <re r cq rtutF <'ffi fr 'f [-T'q qT{'{Gt TL< slr:p <lffi otG-tm <ce r esF n frE affi stBtk q{ n E frq-F r q<( q\fiE c'EF ftrl 7"6 6a1 affi { <ttilR n ffi s{R o celrd' z'- r +(s un-+m fr{rrqro \tr{mH Tir(E qm I o o o o o o o o o o o o o o o o o o o o o o o o o IMm \\\ rG-<e?+{qsnsRsa,t.lat.. C
ICT €fgF8I$F sBfi< {fif}a lbf T(qiI ectr$ "ltrd vtrs Ek {&E-{pT (Modulus) nT Gle {ltld {@r r 6{ olUilm qsB $T{ FF "lFl{ ffierqI T fr1-prq qr|oBs qr e<( &'t-Tr"K qE{I< {fu{ !h{ EIrs ft-qrcr+MFtBbk<rqr qlfB-{@l+m a frelt $E+tmR q$T qqR{t ECnI Eefc'ffi cqR { propagation delays r Rr+tEEr<,ar6 N{oD-4 {EiFr I 1&frs eqS-s qFmFs "iFm,GGsE{l-?Taqg q qsTF ,lfu{q{1 6{culEs eq S-r fll{cr p-+ "nor c+c1Ev q{k {jBr e q( {Fr tffi qs r {qlir<t Bq{Fr (secondary Theorem): 01. A(A+B)=A 02. A+AB=A o:. R+As =a+s 04.-A+AB=A+B 0s. A-B=A+B 05. A=A frfrfi E"t4Iq, (cumulative Theorem): 01.A+B=B+A 02. A.B = B.A WlVf Brt tthT lassociative Theorem): 01.A+(B+c)=(A+B)+C 02. A(BC) = (AB)C fi Etq-{ S{"lltif @istributed Theorem) : 01.A(B+C)=AB+AC 02. A+ BC = (A+ B)(A+ C) 03.A@B=As+eE 04. A@ B = AB +[B {(ft6 6{Fr.t {E (Absorptive law): 01.A + AB =A 02.A.(A+B):A 03.A. (A + B) = B S"(s.Bqmlqrqrar6fd{Fr 0 <t 1 qrd Rrslr{t$q{ql eNFt<rdl:rl{r qRr{qe-,T{l<ftd{R|({]\e Tdltsr6lt qqI"t $itI Tls r n {({FF DEng-< q-{I fr-v<atir+< qcN Eq"rtq]fr fixn"r, A, +Z;6; .47; = A.. A;. A; ... A; n {({fs D6n$-< q{l fu-T<'m+< frfts E"t{tqrB fiT{"t: Ar. A2.A3 ......... An =Ar*Az+43+ .........An c q{rsrcr{q E,q$R-{Etl efts n {q{FF qlt{ qlsrt{r*r c &ropm- q n nrtll+t{t cetrr z, {$IFF\flEttn]t{ "tt€trt${r lslAe +;Bl = a @ B qfit e|s \rjrsIr{{ vrFr (s) fi4ar< vrfu r re = ABI qfrt qlT qlur<{ e'rR RftT{ {fi-$-d"t r \\\ o o o o o (9 IEil g8 ,Rffiua"*fuq{ror-JI
S = ABcr +ABCi +ABei + ABCi = Asci + ABCI + ABei + ABCi SR a5j6lg;ip rlldft 3 JK&'t-*reK wr-s c]<fr tGTe15<I1qq = A @ B el qFi T-qqltstm{N fr4ffig qfu | = ci(A @ n; + ee .efrtloqTMrn$iRfr4rsd{fi-r-dctl a 01. IDB'l9l lAns: cl (c) et (d) s8 (a)A=0€B:0 (c)A=isB=0 (a) ASCII (c) EBCDIC [DB'191 lAns: d] (b)A=0\eB:l (d)A=1sB:1 (b) BCD (d) UNrcoDE ftD<Bffi qv q<( 'rfifiEG Er{irBs<q1e: 05. foE< Efr"r<:F ou,4<( "r<-<ff(F qeEI Ee-<qrs: Y q(fi{6sl{F? : (a) AB (b) AB IDB'l9l [Ans: d] (c)A+B (d) AB MCQ: frn\o<q-{c{rql mtd E* ig {{l{la. "f,Dfr i{"Ffrfl? Cr+rsl(<< qEi"F {ltq rsB? Efttr<<fftr<vtBt$v:1 c'ImqrtA \e B (a) b (b) )s 02. (17)8 ,4< "f(Sr {(?BI mr{F? IDB'19] [Ans: dl (a) 1a (b) 15 (c) 16 (d) 20 03. ()))o.)))r q<rFffrT qgl6sfrc{fl{{q?Rl GT{F? lDIt'19. BD'l7l IAns: bl (a) E. A (b) E.C (c) C.E (d) E.3 04 . r.ton .a< qBtt 0 (w) << {11- IDB'l9l lAns: bl (Dwqmtt+1ct I (ii){<er4lt{9l6o (iii) c cslGrl €sFt{"{6 1 frruacoqFc6-sz (a) i, ii (b) i, iii (c) ii, iii (d) i, ii, iii 07. froTCs'lqtr 16Rd-d6$1-s? [RB'lgl lAns: dl Efi"n-q-< r e< ql-gsr q&-r c'F! 6$t{F? IRB'l9l (a) oR (b) xoR (c) NAND (d) )o{oR Jr:n{,l{: (b); AB+AB = A B.AB (A+ B).(A+E) = es +An = A@ B q<sst{tfrcoqc<? IMil \\, iRngrfiqsffikor+{rqt..
09. Bft"trq< c cq,f+ $eE&-{ C'l?!<I{qEE(g fllr<- IRB'l9l lAns: dl til eE f<ct< w<qr qE;{I s{1-< q{r (ii) EFP el]-sl-<?6R< cs.rq (iii) slubt<hfr{ 6s@ firu-< r+tqFqtsz (a) i, ii (b) i, iii (c) ii, iii (d) i, ii, iii fto< Efi"roB "w q<('rfl<€t Efr Ecl-d B-q< qT€ : (a) 10.10 (c) I 1.11 qEI4-,.r: (a): (1011.11), +(1101.10), +(10.10)2 (1101111)7 (b) 11.10 (d) 101.10 = (10.10), EFF q< {Cffi C(?BIF SE? ISB'I9I Ir\NS: CI (a) 100 (b) 200 (c) F00 (d) FFO fi'6s Sftcffi qq 6 e<\ ffi EF Erfd E-qd Ef B : R 10. 6rc<vt$t"$n q<${{s? ICtg.B'19. SB. BB'17. i{ B'l6l (a)AB+AB tbr ne+eB (c)AB+AE rdr AB+AB nE 4t-{: ra): P =[l:g + A+B =n.E+ A B=AB+AB I I . Eftr-+< fuS On crialB< qfu AND OEt rrrqm s-?n4 F q< ${ s\' {r<? l( t!I.lt'lt)l (a) A (b) B (c) 0 (d) I rrrr.r.(,.,:e=[lS. A+B =A.e. A.g= A.A.B.B =0.0=0 12. ptC'fuo (1011.11), € (1101.10), S< Cflt]\T fr4< +,<r.s <61-(dtl I qqq{ Fl+Ift (11011.11), fr+erccsocftfr{Ez lCts.B'leI 13. gg qfficq<quirrFg,Nu'fi... (ffi (a)a*1=a (c)a+0=0 1'1 . (1 101 l.l r 01 I l), 14. P q<Tl1m]-{B? ISB',I ql (a)A+B rU,)A+e (c)A+B (d)A+B ){:ITfin: (bt; P=A+B+e =A.B+ S ['.' De Morgan's {(.] = (A+ B) (B + B)[... A + BC = (A + B)(A + c)] = (A + B).1 l.'B + B = 1l = A + e 15. Eft"Irs-{ p = 0 <rF- ISB'l sl l.\ns: cl (a)A=0,B=0 (b)A=0,8=1 (c)A=1,8=0 (d)A=1,B=1 16. mffi <furqqIErqdT< ffifr6$"141qP FE? (a) 1B.37 lS I3'l9l l.\ ns: hl (b)a+a=a (d)a+a=0 qn qNql q3l6sfrrT{ qi?rrl ISB'l9l IAns: bl (b) IB.DC (c) D8.DC (d) D8.17 IBB'lel (a) I (b) 0 (c) A (d) A 19. ry${F: (a); F=A+A=1 (29)10 c(?mF{ <lt{fi fi{ T\,? I BB' I 9l I,\ns: d I (a) 11100 (b) ll01l (c) 10111 (d) 11101 frrEdEff"rsF o|v q<\ "R-<6EE qrfdBs-*nte: 'q' friffi ffislr ICr frsF (100)8 qm c+tcsrq I E ft qr+ <fu c$rB< qglcsfr{FT q'slrl {6oTtIBB'l9l IAns: rl (a) 40 (b) l0 (c) 8 (d) 4 Eft"n-+ <|fu cri-ntr{ qtc'R {$rt ss? IBB'l9l lAns: tll (a) (ss)e (b) (64)s (c) (66)e (d) (77)B Y = A.B + c ifr{rq ]Ift$<cf Tls<]T{ c<1€ fllE 21. 20. +<6 d,fro ciEi er.rre-{z (.a) 2 (b) 3 (c) a fi{r{: (b); lBB',r e I (d) s B C \ F-q< {F sE? 23. @Fr<fiF n{({Ift{S q<( 2' c'sllsqlBt"F ?tlrs? (a) €{col$< (c)c&'tR IJ B, CB'l9l l,\ns: bl (b)frTslslr (d)srBik
(b) NoR (d) xr.roR x q{{];t ) Er{ Ifi- [CB'lgl [Ans: al (i)P=1,Q=1,R:0 (iDP=0,Q=1,R=1. (iii) P = 1,Q = 1,R = 1 firrdrfif qts? (a) i, ii (b) i, iii (c) ii, iii (d) i, ii, iii x €<qftqqq 5qffi? tcB'l9l lAns: dl (a) FQR + POR + PQE + PQR (t)FQR+ pQn+FQE+ pQn (c)PoQoR (d)PoaoR 2 BAD.8C mFI {-zGl-?l c({if? [Din.B'19] lAns: dl 25. 26. (a) q{fu$ (c) q+bre o)<rt{lft (d)6csl(sfiI{E ftDrsft"rsF qv q<( 'R-<6EE {rfdE-sqfi€: B x 0 0 I 0 I 0 1 0 0 I I 0 6l{E? lDin.B'l lDin.B'l9l l,\ns: cl 28. Us{q{t 1 scq\flEit o s{ m]{ dirD? (")l--- (a) 001001 1010 (c) 1011010101 (a) (33)e (c) (ABC)ro (b) l00l100101 (d) o l00l 1010 (b) (100001), (d) (cBA)16 frn-<Eftir+Eqsv{ q<r,K<6EF EclrEs<Rts: fi[E{Efi"RFqr€ q-<\ "R<qEEqarBs-drts: {=D24. Eft"r+ <r6ft<qt$t"ft< rsfi-+<q qa 6sh clltrt< c'R"tc1T.R1{? (a) NAND (c) xOR yr$q{.: (c);A+B +A+ B = (a+S).te+nl = M +AB + AB + BB = AB + AB = A@B Efr"ro <6ft'< qEiS W c"rp cc{ c{Fr ElF cati!RfiqTT<19q6q? IJB'191 [Ans: al (a)ls3 (b)1€4 (c)1e5 (d)2 \e 3 c+ffiufu6tccfu? IJB'191 lAns: al (i) ASCII Code (ii) EBCDIC Code (iii) BCD code firu-<c+rqBc6-sz (a) i, ii (b) i, iii (c) ii, iii (d) i, ii, iii 27. _rLrLJL frErqffi<{Iqft'sfi{+sz [JB'l9l IAns: dl IJB'l9l lAns: al (DNAND (ii)NoR (iii)x.{oR ffro-dc{EFc6-s? (a) i, ii (b) i, iii (c) ii, iii (d) i, ii, iii 2s. (10)16 q< tr{< {F c$FF? ICB'l9l [Ans: dl (a) I (b) A (c) E (d) F 30. r' = Es + ps afl-a$1ft 561-q c'ti!frri-ter<z ICB'l9l lAns: cl (a) NoR (b) NAND (c) x-oR (d) x-NoR 31. (A + B + C)16 q< JI{VSI {I{ 6sFF? ICB'l9l [Ans: bl 35. CsrO (a) AND (b) oR (c) NoR (d) NAND 36. X<EIm'0'qr{'1'q<('1', q< {cE '0' T{IFI EIg C'EFF{c<- lDin.B'l9l l.\ns: cl r"rtD-- or--lD4, S, C q.IS{E{ 'lr$< qr{ <E? {All Board'l8l [Ans: cl (a) D (b) F (c) l0 (d) 16 () )o) )o){ q< {{$'T {I{- (i) (ss)L (ii) (a8)!o (iiD (es))s firu<c+FGc6'sz (a) i, ii (b) i, iii (c) ii, iii (d) i, ii, iii 6$f{ c'itt( {r{ Q{"F 0 q(E qEiS 1 q[{? JAll Board'181 IAns: dl (i)NAND (iD NoR (iiD x-NoR frrrd6sFrBc6's? (a) i, ii (b) i, iii (c) ii, iii (d) i, ii, iii rMm ''\ 'rffi+*SglmRwqqr{...
firu-dEftffiF rc q<\ "rfiqEE scrdEs-<nfs: 4t. 42. x-NoR- q< qcE 6sl{ criab<{rq qEBt 0 q[1? [All Board'l8l lAns: dl (a) AND (b) oR (c) NAND (d) NoR A F-{lq{E(g {lrd{rl{- [DB'171 [Ans: al (DA+A+A (iD A.A (ii0 A@A frru-d6sHEc6-sz (a) i, ii (b) i, iii (c) ii, iii (d) i, ii, iii 6sr{ E&-$ c'itrB{ t{t s vtBt$ eE{ qrI{ [All Board'l8] [Ans: c] (c) AB (d)AB IDB'171 lAns: cl (c) Nor (d) NAND 43. 45. iFx 40. F q<{l{ @EE? (a) AB (b) es allrs? (a) AND (b) oR fiorBffq+E qv q<(,ra<frEB sr{-dBq*qls: 48. Eftqr- <<64ifr<Q-q<{l{aE? IRB'l7l [Ans: b] (a) 0 (b) 1 (c) M (d) M+N 4s. Efr"f6s{ e e< ('FFd qfu ma c'E <r<+< c<rq{frTQ=ocr{? tRB'l?l [Ans: a] (a) AND (b) NoR (c) xoR (d) XNOR 44. p : ffi sc: q<{{ft{orll @FE? [DB'17] [Ans: bl (a) AB. BC (b) ABC (c) AB + AC(d) ABC- ,trfitrFE{s @ts+ofr&<r [DB' l7l [Ans: dl (a) e (b)8 (c)c (d)u 46. A* BC = (A+ BXA+C)E"tHIqlF<rdtt- [RB'l7l lAns: dl (a)frfiqs (c) cfiF-o (a) 00001100 (c) 11 1 10011 47 . n{frs qq"lrt 12 €( 2's complement T9? G)q{sq (Ofr\'-lq IRB'171 [Ans: dl (b) 11111100 (d) 11110100 rM ICTEGFIII$D s0. cr qG-sr6ft qFlqtFtffi+ottr<?,-<to <tffi ml@lR"lsrr{slrfftffi? tRB'171 tAns: bl (a) 6&tK (c)&r{lqir o) q{r$lv]!r (OdBir( 51. 5, u, F (r<lF{qir{fr{F$s? lcts.B'l7l (a) A (b) B (c) 5e (d) r.\ wI{Fr: (c); q<I qgl-rsfr{lETl-fl-:rr q?lItrt,)+1:B B+1=)CllF qEq< F+1=)s (loo)q 4<( (AA)>s €d C{Ftsdt TE? ICtg.B'l7l lAns: dl (a) 1AA (b) 18 (c) AF (d) AE lttrer <FrBnnn r+e irr<& <4r+ qq(e q<t {l{- ICtg.B'l7l lAns: bl (i) ASCIISRI (iD EBCDIC EI{I (iii) Unicode {l-:tl firu-<coEFqfr+r (a) i, ii (b) i, iii (c) ii, iii (d) i, ii, iii ,4n(slvIr{di{'F<E- [ctg.B'l7][Ans:dl (i)q?E{$rII (ii) q{frsa'\"1,1 (iiD R"slrsfr[{{{sBI firr-qcetficG-az (a) i, ii (b) i, iii (c) ii, iii (d) i, ii, iii )s Q{t frFE err+Mr+{ qtW$ qc$r TsF q6{? ISB'l7l [Ans: c] (a)t (b)e (c)8 (d)c <t(st sFllrfFFEfic( qqris T-<t<q-+ <6trq 6sF {-?m-<t 6sfs {ffqo E{? [SB'l7l [Ans: dl (a) BCD (c) EBCDIC (b) ASCII (d) Unicode A+BC = <E? [SB'l7l lAns: cl (a) (A + B) + (AC) (b) (A + c) + (AB) (c)(A+B).(A+c) (d)(A+B)+(A+c) {fr el ht oR 6'ftt-d wEB'F o (T$ +n erRrw{ E{ Efqm 6fFF eIRM $iIN q[<? ISB'171 [Ans: al (a) q-qc t{t o (W) F-fie- << O)c<ql-{t ls-<(9-Er< (c) frrfiffi qsFt{S o (t{r) s-fie q(< (d) clTftql qrFq{s 1 s-:IFqr{ 53. 54. 55. 57.
6fpfiIs1r< U"qPFr +.K e<( q"RF {$m (tr< (a)qrtsF (c)c&,fl-?r (a)rffi61 (c)fritr< 62. A{fiF6<FFIITTGall[s? [BB'l7l [Ans: b] ficr< Eft"te$ qq q.{\ "r{<ft fiF er':t<B-e<nt'-s : sfuElF Frts rfts qir< ffr6 e$F c({rt (11)' frrtr+qr 63. Efi{roEfrFtoq$BlB{q1frs{qilrtEcqtUB'l7l JAns: bl (a) c\e (b) \ee (c) 98 (d) cl 64. Efr"rrqcr"flB{'r+<6qs"Irt c{EFz IJB'l7l [Ans: bl (a) (1t)r (b) ()oo)n (c) (\oo)t. (d) (iql)' ftElEfi "t+E "iv s<r "r+<S *F er{r E-E-{ Er,s : 6s. Eftarcpq6q6 p;4 ffi firftt+r<? [JB'171 [Ans: a] (a) AND (b) oR (c) Nor (d) NOR 66. f ir+< 6cq( dA6< rt(el Not Gate {@ s<rrt mfq cniD "|l\s$:rF? . IJB'l7l [Ans: bl rcTEEFTII$F 67. &fu< B"r< fi-v'q +r-< {i?m q6G sE eFsr{? IJB'171 lAns: cl (a) r. (b) e (c) 8 (d) a 68. c}ffi{ crlEF cflqB? IJB'l7l [Ans: b] ICB'l7l IAns: bl (b) tas (d) \gaaes 59. 60. gCITFt GI-iI T3T(g {ql.IlEI SGI I 61. S<\r'ftGCrqt mtlFdfr"+Eq{qi? (a)A+1=A (c)A+A:0 111qqffiE(EqI(<- (i)qtffi (iDqsnrq (iiD GfiTFI frrr<c,onEc6-sz (a) i (b) iii (c) i, iii (d) i, ii, iii frru-< Eft"r+F qv q<('R-{q EE crrir Bst nte : A € B (E {ffi{ ddsre @ n<tt TPiEfir< 69. lSZ.rZS;ro-e<<|ffi{l{ss? ICB'r7] IAns: bl [BB'171 [Ans: bl (b)A+0=A (d)A+A=1 IBB'l7l [Ans: dl (a) AND (c) x-OR (a) 100101.01 (c) 101001.01 (b)NAND (d) x-NoR (b) 100101.001 (d) r01001.001 fitE-dEfr'r$F "lg qR "l<-<ff cff{Bs-{Efs: IBB'171 lAns: al Efr"n-+< {6ft{ qEtlF< r<ftjs xn< <6ft [CB'l7l [Ans: cl (b) qrrslsr< (d)FlBnr< (b)ftFt\6 (O-ft-flr{ <o '116<- ,. fl*' "oD ,rr, O--ID frrEdc<:t{Eq6<r? (a) i, ii (b) i, iii (c) ii, iii (d) i, ii, iii &c-otstr<< Qqt rr$[t 8 scq qtWt cr<- ICB'l7l IAns: cl (a) 4 (b) 8 (c) 16 (d)32 a: 1,b = 0 (n E-{i a@b =? [CB'17] [Ans: bl (a) 0 (b) 1 (c) 0, 1 (d) 1,0 (1010), q< qIEEI qf{- [CB'l7l [Ans: a] (D (10)ro (iD (12)8 (iii) (14)16 firE-d@FE{6r? (a) i, ii (c) ii, iii r$EENAND C'iE!? (")tD' G)l>-Y 7 5. ASCII-8 CSlrg{ {T{Ic{ CSF qfrET G'QrT fiffi (b) i, iii (d) i, ii, iii ICB'l7l lAns: dl (b)l>' (d)iD' s-firm (a) )iE (a) AND (b) NAND (c) x-OR (d) x-NoR (c) c)t \\\ qffir+*qsmRwtuqt..
76. B{|g € ERB q(<s'cq3t ckal qG-\}- [CB'171 lAns: bl (i)&"i-P'i (ii) q11-st{ (iii)6&ttd firu-<mnBc6-{z (b) i, iii (d) i, ii, iii 77 . Non e< qtEE$ 0 (.I{D qr< s"l-{ lDin.B'l7l lAns: cl (rc{rslffi.4Ttrt{to (w) (ii){<eIErt{s l 1iil) arenm e+frt+$ r firu-<c+HEcEsz (a) i, ii (c) ii, iii fio< Eftqr+fi qv c<\ "ra<ff 1QE arrcE-e< ntre: fr. qlfrs eTlIqro <dm, "cgt{Er <rFT FE?" st{FI fl{ mq<({{ (101101)2 I 4FI|FK {iI6{-< {:FES {({rf ErqtlDin.B'l7l JAns: cl (a) (2s)" (b) (3s)s (c) (ss)a (d) (6s)8 q,t <q-< t< otqkffi <+q <m6e- Fs q6{? lDin.B'I7l lAns: dl 78. 79. (a) (101011), (c) (101111), (b) i, iii (d) i, ii, iii (b) (101110), (d) (110111), fi o<Eft "tqEqe${,s<i qr<fr *F errf<Bq<ft : A B 80. E"I[-<<fiqF6$]q 6id-{c!EsT? 81. IDin.B'l7l lAns: cl (c) oR (d) NoR lDin.B'l7l lAns: hl (c) ii, iii (d) i, ii, iii [Din.B'l7l lAns: bl (c) 10 (d) 16 (a) Nor (b) AND Y qFqFt ) {C {fr- (DA=0,8=1 (ii)A = 0,8 = 0 (iii)A = 1,B = 0 frcu-{csr-{Eq6s? (a) i, ii (b) i, iii CE|E Ci?FTd CTq FEZ (a) 2 (b) 8 I tc 1U tcT €rlN-<lIl$F A B 84. \ € edicitd-{ft-trqqffiqs6q F,{ qFW qr<? IDB'l6l lAns: bl (a) 2 CNAND q<( 3-6$ NOR $3m (b) 2 CS NOR q<( 3-6S AND +?IFI (c) 2 6s OR€<( 3-6s NAND silin (d) 2 @NAND q<( 3-6FNAND S-?16{ or, *u" o16r d!!frr{ csf{ ('iiEE{? IDB'l6i lAns: bl (a) NoR (b) NAND (c) oR (d) x-oR -5 q3 2 ,{a ffiT{s fi{ ss? IDB't6l l,\ns: rll (a) 1101 (b) 1001 (c) 1010 (d) 1011 (78)10 q< BCD q<:rl{ss? lIlB'16l lAns: bl 85. 86. ,-J---\ Ipv -1 _./ ,l\ frn{ fuDqr r-d q<( ffi *F emf*E-e-{qt\s : 83. F €<{l;I (a) B(c + A) (c) c(A + B) 87. (a)0ll1l00l (c) 0l 101000 88. <Iw<ft]-ql6st{ mrcEq? IRB'l6l lAns: cl (a) BCD (b) ASCI (c) UNICODE (d) EBCDIC 89. 4ffitr oEF @t-{E? IRB'l6l lAns: al (a) NoR (b) AND (c) Nor (d) oR 90. sTsrtfiffis @trqqr{ Eflcffi q-{ITJ-{dsE{- lllB'l6l lAns: dl (i) ASCII code (ii) EBCDIC code (iii) Unicode firu-qconBr8Ez (a) i, ii (b) i, iii (c) ii, iii (d) i, ii, iii 91. ASCrr-8 @r6s{$rED=sffi +-sBz (a)2 (b) 4 IRB'l6l lAns: bl (c) 8 (d) 16 ez. fro<firqqBtt<Ez IRB'l6l lAns: cl (i)xTl (iDx+, (iii) xy ficu<c+IlFc8sz (a) i, ii (b) i, iii JDB'l6l lAns: al (b) A(B + c) (d)AC+B (b) 011 l 1000 (d) 01 101 1oo to iffi{dqurrtBoaqqqr... C
95. 96. frru-< 6qE qF <''{ e<( "l<-<ff c6f{ Eq{ q.t s : xy 93. Bft"r$Erio gp c'liEtr{ err NoRGate fiIFr FqlFqF cslT c'E!E{c:rFI? IRB'161 [Ans: dl (a) NoR (b) oR (c) xoR (d) x-NoR 94. tBfrr+trs< Rd-d ftrBI F9?[RB, sB'l6l IAns: cl (a) 4 (b) 8 (c) 16 (d)32 csl-it'tEfrr{ E{FIET.{strrislrtF{t{f{? lCtg.B'161 lAns: al (a) t &) s (c) E (d) )o fro< mrq e&-$ c,rtct-d qtEt"F tffet< RqaE? ICtg.B'161 IAns: cl (a) AND (b) oR (c) NoT (d) x-oR q&.nn cr$I qhGrc C$lc{t qrB r(?Brd {F fifto-stnq-*q-ffirn- [ctg.B'l6l [Ans:al (i) c(r8lBF Tf{qs q(FarqBr fi q{ ${ (ii) q$TIF?u Tf{qs i{\FerEl< qlfu {F <f Gft (iii) ,rifi q6&-d C{si ftD-d6+lqFc6-s? (a) i, ii (b) i, iii (c) ii, iii (d) i, ii, iii x-oR 6n?t ?sfr[\g- <Frqs q{ - lctg.B'l6l [Ans: bl (i) OR Gate (ii) AND Gate (iii) NOT Gate frcu<mFFc6-rz (a) i, ii (b) i, iii (c) ii, iii (d) i, ii, iii 97. 98. ICtg.B'l6l lAns: cl o)IBe (d) A+B+C [Ctg.B'l6l [Ans: b] (b) ())oo)o (d) ()o)o)r 99. F: ABC + ABC ,{<CTft-{g{F 6SF{F? (a)A+B+C (c) ABC r00. (){)o q< Ttr<'s <Itilfr cs'ldB? (a) (55o))1 (c) ()) ) ))r lcTeEFTIS fi5,R@ffi qr6 q<r'r*<6lQF qeftBe{qlls : A B C ICtg.B'16] lAns: cl (b)A+B+e (d) A + B+E103. 104. 105_ (b) i, iii (d) i, ii, iii fi-q-F G-q-t 106. 'to" firE-d qlBilF 6qFfq'E s q< {ft$-{"iq(T ISB'l6l [Ans: bl (b)s = M@N (d)s = [4-+-N 1ol Efr"r6$iTqEt$ F q<crft{sfi{ GFE? (a) A+B+C (c) ABC r02. r56,T'ics==_J-q<Yr4-, / <rrcE F qr {{ATE ql{ fr(5< 66fa ffilrq qrd{ T6{2 (a) oR lCtg.B'l6l [Ans: a] (b) AND (c) Nor (d) NoR ()oo)o). )o)o))). q< Rslrsfr[T{ ql{ $E? [SB'l6l [Ans: al (a) 2s. AC (b)4s.s3 (c)37.53 (d) 94.AC (lF)16 q< Tr(al ) GFt Sirr{ 4E qr{? ISB'161 [Ans: cl (a) (11F)16 O) (2F)16 (c) (20)16 (d) (21)16 ISB'161 lAns: cl A -\\-----\\ ,-J] )-* ueflE-s-c <E;trd q]s616 sr< - (i) A+B (ii) AB + AB (ii0AoB frru-<mtqFcfi-rz (a) i, ii (c) ii, iii finrBftlaFqs qR ffi EQF ern<E-s< qt€ : (a)S=M+N (c)S = Y 611- IEil \\\ qffi{dqvrmB€eqqrtr... (I
rcTefg<JXw : UI{tI{-oe 108. 109. 107.'?r' ft.qdqtEDlEF]tR c : o c"lrscr{t{SM, N € Cin q< Eln q6o q6{- (D M:0, N: l, c1n = I (iDM=0,N= l,cin:0 (iii)M:l,N=0,f,,n=Q firE-d r$t{Ec6s? [SB'l6l [Ans: cl (a) i, ii (b) i, iii (c) ii, iii (d) i, ii, iii <ffi cqr'f l +o+ I =, [SB,t6] [Ans: al (a) )o (b) o) (c) oo (d) )) (c{))o qn BCD Csls @'FE? [BB,r 6l [Ans: cl (a) ())))o)r (b) () ))oo))r (c) ()))o)o)\ (d) (o)) )oo)o)r I10. BCD 6$ls TE fr(t-{? [B8'16] IAns: bl (a)z (b) 4 (c) 8 (d) 16 I l I. (-8t)\ {(rmBEqqf"m{<I{S\5 {t{ Er{fIB8'161 [Ans: dl (i) eEE n]{ rfd{ (iD )-,r< 'lRtds 't { (iii) r-qr flRtff utSq firu-d6$FF{trsu (a) i, ii (b) i, iii (c) ii, iii (d) i, ii, iii l 12. csF{rfrd{r66' c3l"ftrtrt celrs5FtrqtEtt fr65-s 5qFfr ffifrE gnls! [JB'16] [Ans: a] (a) Nor O) NoR (c) NAND (d) x-NoR csfrflEcccfi ,fqb{&&+o_e UB't6l [Ans: b] (a) )e (b) )o (c) t (d) a. fu-{nfB15ag$"pXqrq$ft€- IJB,16l [Ans: d] (a.1A-a = A. B (b)A-+E:A+B 1c)A+n=A+E (OA+E-=A.B mfq <6i e <4rs ASCII-F s,fis{ Fcr ? lJB,l6l [Ans: bl s&-s SqF fi'{ q<('r<-<ff EtE qc:rd Esd ms : )U Elt{ Encoder-(1 66 ggp6 4}4 T{F Cr{? [JB,l6] lAns: cl (a) t (b)e (c)8 (d)b (1 10 1 1 1 1 0. 1), -q< qgfrefrjl1q {$BI rsFF? [JB'l6l lAns: c] (a) DD.1 (b) DE.l (c) DE. 8 (d) ED. s fr-aat1q-qq gq"fihr 6sHF? [cB,l6l [Ans: b] (a)A(D B = Aa + eE 1o,) aB = a+ e (c)E@s = AB+ae (<l)A+AB : A s&-s 6ErE cE'{ e<r,r<-<S IQF qr:f* Esq Ei€ : * ICB'l6l lAns: cl (b) A B- (d) AB (c) ii, iii (d) i, ii, iii [CB'16] lAns: bl (a)9ltvlit (c)ftrsEl-?r Y qd{l{6$'FE? (a) A+B (c)A+B o) q{cFEr{ (OFtBAir -F l13. $Ef+$rpqTIt{655IE? [BB't6l [Ans: dl 124. Y = 1 cafF qrE, A q<( B qT qF Er:tICB'l6l IAns: bl (DA:O,B:O (iDA=o,B=1 (iii)A=1,B:0 frcorc+hEc6's? (a) i,ii (b) i, iii 125. MSB -q11{s"r<q- (a) Most Suitable Bit (b) Most Significant Bit (c) Maximum Suitable (d) Maximum Significant Bit 126. qEaFairl,l lqfrro )11 q< {cr< {s{fiFFs? ICB'161 [Ans: cl (a) )lb (b) )bo (c) {oo (d) qqo {I\e${l]P (a) q{trFlsR (c)6G'tEr (a) A+E+c (c)A+B+C {BB'l6l lAns: al G)&[.Tls]-rl (d)stE'tr< (b)A@ B O c (q Am I 14. 6@ 'x' GRE ot?F "rR-+6q rL< 6sF c'EE firq I t qBtSesc<r? IBB'l6l [Ans: b] (a) NAND (b) NoR (c) xoR (d) xNoR 1 ls. fr: 1t< q$wr Elun$ (s{ fuFryt +<ts m T{a, <lffilF qir $m )oo)o I Ek qt T$Bf{ {kct ()o) ))q 6sFl +'{rq <ffire sFt+-c sE q[q? IBB'l6l [Ans: b] (a) 5)oo) (b) ))5o) (c) )oo)) (d) )o))) IMil {fr{6({{EEnrFflerqffi...
127. lut{\rtiBE(g{6r- [CB'161 [Ans: dl (i)q{fi-f (ii)w+BFr oiD r{qtrsfi{rFr frrr{6+tqFq0s? (a) i,ii (b) i, iii (c) ii, iii (d) i, ii, iii trftqmE 'lg q<\ "rtr{S IQF qrf* E-s? qt€: Ftm ETEro r+q q( furtt q-<qr qqF <tlR qq&F GIFI q\ ))o) <6FI r Bftffi EBRv {$rt ctcq ()oo5)r qr GIFIiFI rZg. Sftetr€(<f{i\qT{sq6Et- [CB'16] lAns: bl (i) ()e[. (ii) ()))rg (iiD ()a)! frro-{6dcFc0q? (a) i, ii O) i, iii (c) ii, iii (d) i' ii, iii cvrT cffiF cfi e<( "|{{fi qrf{ Bsd {,ls : t{S qs"F A B x J 0 0 0 I I I 0 I I I 0 6st-{ oRnE< qlW"F fi-{l qkq? ICB'16l [Ans: dl (a) oR O) AND (c) NoT (d) x-oR (BFE)16 qir cnE{, qffi {f{ Ts? [Din.B'l6l lAns: bl (b) (s776)s (d) (101111111110)8 ?Efrr+trufrd<qgrtFE? [Ans: cl (a) 4 O) 8 (c) 16 (d) 32 IEffiF dF rssrqi &n qmr+ mns-< qq(c €tt{F? [Ans: dl 130. 131. Fg? (a) (o))oo)\ (c) (5oo)o)r (a) (577a)+ (c) (s976)e [CB'l6l [Ans: bl (b) ()o))oL (d) ()))5oh 01. (a) 2' (b) 2n (c) 28 (d) 2t6 ()4. 133. 134. tcT sH<IRp : slrm:s-o\g NoR cltFd qBt"Fro Nor ffiFd q[$ ft'rr q1E.f s-415q 6S1-q C&A 'fl\s$ SF? [Din.B'16] lAns: al (a) oR (b) x-NoR (c) x-oR (d) AND F = A + AB + AB qF F q<c<ft{efi{Ts? IDin.B'16l [Ans: b] (a)0 (b) I (c)A (d)B 6Fr cFls q{fi-{ q$flrs <i:Ttk qc1ll-{ +{M 135. 136. (c) IINICODE (d) BCD cTf{ clft&r {qll{i @trIs 4PEal'r{{ 6f151{, EFff{ 6,tlgir Tirf {I{? IDin'B'16l [Ans: cl rFGI? (a) ASCII (a) 6r&'tt{ (c) q{[Tl-qir [Din.B'l6l [Ans: d] (b) EBCDIC o)slutK (d)&'r$lslir IDin.B'l6l IAns: bl [Din.B'l6l [Ans: a] (b) (x + z)Y (d) xYz [Din.B'161 [Ans: al (b)P=1,P'=0 (d) P = 0,P'= 0 (a) P = 1,P'= 1 (c)P:0,P'=1 a MCQ: c{-6€t-T*q1ffi3qas 4, 8, C qtrFCFd'fCiK {Fr {s? [Ans: cl (a)D (b)F (c) 10 (d) 16 q'qk+ c$It lz qit 2's complement <iE? IAns: dl (a) 00001100 (b) 11111100 (c) 11110011 (d) 11110100 03. Ah, tL_ G@{qEA"F<<- (a) AB @) AB (c) AB (d) AB firu-dBffi rv .q<< "rm$liF qnrdB€rng : xy z Z 137. q{tF, P=? (a)X+Y+Z (c) xY + XZ 138. X = O,Y = r,Z = l{cE P --?P' =?
02. p = an ec: q< c{fiT\5 ffd c<rt{D? (a) AB. BC (c) AB + AC {IIHl;r: (b); F =AB.BC = AB. BC =A(B. B)C = ABC (1 1 1 0. 1 1), q6 {T{rs qrgfsr{ftldT {\rlx c+,Ftr? (a) E.3 (b) E.8 (c) E.C (d) C.E q:rT<td: (c); (1110 . 11), = (rrro . r too), = (E'C)to NoR q<qEtlB 0 (W)c61{"lT [Ans: c] (0fl6$rHr.{TtrQ{So (W) (ii)T<qrqtt{t I (iii) c cflr{Iq$Etqt 1 frcu-{6sHF{Es? (a) i, ii (b) i, iii (c) ii, iii (d) i, ii, iii (a) (101011)z (c) (101111)z 08. YqrrFrlEcr<fr- (i)A=0,B:1 (ii)A=0,8:0 (iii)A = 1,B = 0 frrur6$F{Fc6'$? (a) i, ii (c) ii, iii lcT€T*FIII$F F q<{F TSEE? [Ans: c] (a) AB (b) AB (c) AB (d) AB X-NOR q<qm6sF cdB<qtrqqtBtF o<<? [Ans: d] (a) AND (b) oR (c) NAND (d) NoR (110110), qT rITfs{Ft- [Ans: dl (i) (66)e (i, (s4)10 (iiD (36)16 frcu-*mnBc6<rz (a) i, ii O) i, iii (c) ii, iii (d) i, ii, iii ftcur EffmF qv q<q ffi EtF qer<Eq* nNs : fr . qfrT fiqlero Tffi, "FFf{ (s{ sE?- +,t{le <6FI fl\e-BT{FI (l01l0l> I Trfl-FK <-:IC{< q{SS :I(?l]t q(-d- (a) (2s)6 (b) (3s)e (c) (ss)a (d) (6s)B qqTqFr: (c); (101101), = (ror ror), = 1ss;, q.l <q<'iir F,ljnrffd <3-{ <e\frF ss {6{? 05. 06. (1 1 10.1 1), q< {T$T 6{glrsfrflE C$BI 6sFF? [Ans: cl (a) E.3 (b) E.8 (c) E.c (d) c.E cr c'ld-d Tffi t{'F 0 <EqttDt 1 Cr{_ [Ans: al (DNAND (iDNoR (iiD oR ficu<mlBffi'+z (a) i, ii (b) i, iii (c) ii, iii (d) i, ii, iii frru{ fiqEqF €d,s<( "R-{61 EtE srlfd Bs< Ets : lE* MCQ: Tsl{iigt q{ € mt${ A TIFIITFI EC\3_ qITN{fi- (DA+A+A (iD A.A (iiD A@A firD-dcsHD{6$? (a) i, ii (b) i, iii (c) ii, iii (d) i, ii, iii {:lT(Fl: (a}; (iii) A O A = ee + Aa = 0 + 0 = 0. slt, (iiD q(EEr Fk t, A : 1 qRqirqtws (0) + A(1) 07. 09. a 01. 05. 06. (b) ABC (d) ABC- {qI{Ft: (d); (10)10 = (1010), 'I'dR (1 0) 10 <sT1iT s]nlFK (s{ <lt{lkF <6T, (101101), + (001010), = (110111), fi rDrEffi qF*{ q<( qn6EiF qr{qEe{E tts : A r_'\ "I)=)"--' Elrq< &aE corq crtrt< crgqr.z (a) Nor (b) AND (c) oR (d) NoR :{$FfIn: (c): y = (ffit+ (-+ 4 = ffi = A* B{lORGate qnmEqit (b) (101110), (d) (110111), (b) i, iii (d) i, ii, iii 03. 07. 04. I M
10. wl{l{: (b); (i)Y = A+B = 0t 1= 1, (i)ss.cfr$r (ii)Y = A + B = 0 + 0 = 0,(ii)4(Ysl (iii)Y = A+ B = 1 + 0 = 1, (iii);Rtl6'Fr 09. crnF6fifr.+E{,flqi? [Ans: b] (a) A+ 1= A (b)A+0=A (c)A+A=0 (d)A+A=1 ,r1qiffiq6geltct- (i)<li-{R Gi)q{AE (iii) (sfrTlq ftE-{c+EE{E<F? (a) i (b) iii (c) i, iii (d) i, ii, iii T{NF[: (d); "1" &&i$qlt{lR, qaq q<( (sfr{lE ffic$it qsffifrq]{lqrr{cq, stt (D, (iD, (iif BrBrfror 11. (37.1 2 5) 10 - .{r qt{R :rf{ Ts? (a) 100101.01 (c) 101001.01 Htql{: (b); (b) 100101.001 (d) 101001.001 r.l eA t l!t t lb :. (37.725) n = (100101.001)z firE-d Eft'r{F i{F qd,{rR "ll-{q qrfd E-s'+ qls : AB LSB "r, I I LsB I MSB 12. ffio6q3(fi-qqEEFicrfiqsqlwdrffi c6o trr fJ-\-e*, rilo-D roo-ilfrLEdceliFq6's? (a) i, ii (b) i, iii (c) ii, iii (d) i, ii, iii o sFttrFt ! rM ICT eEt<ISp : €Irffi{-o\g Tqt{Fr: (c); Bft'ItrF-d <6ffIs qfB?t, x=(A+B).(A+B) = AA+AB+AB+BB = A(1 +E+B) + O qr<r'<' e --rf-\- (A + A) = A' -1J stt (il)q6s' e<re---ED- (A' e) = l, stt(iiDq6s, [Ans: al (a) qisf< (c)c<&tK (a) 00001000 (c) 11 1 10011 (b),4TrsrsR (oFlB-nl-d (b) 11111100 (d) r 1110100 13. ffic<{Q{S{$lrt 4 cffi qtvBtc$Btqr{- (a)4 (b)8 (c) 16 (d) 32 {qFf{: (c); fu-Ovn-<< fficq, t{t n q\{rs qm qGB1b zn fi r ;. tl1F +fr RrEq6"F 24 = 1,6fr frru-r Eft"mF qv q<\,r<-<fr cr:R Eqd Etts: A € B EF $5fu E?HF Et c("BI sftEtfc< 6{t{'FUEtr{ Gl.qt"H T',K q<i qer<fr T(?Bt Etd C{FI$E 6{dFi[rE{qmsl<r6t I 14. B<gftFErqI15. A<6ftF6$FII{{@tlI6F? [Ans: b] (a)qFBrr A)ffcfiS (c)frfiK (Ofuslt< 16. A+ BC : (A+ B)(A+ C) Bq"ffiEret- [Ans: dl (a)frfi:q'{ (b)qis{ (c)dfr+ (qfr-\,-IsT{ 17. q{frsc(rtfi 12 €{2's complement $9? srt{Fr: (d); (72)n = (00001100), (12)10 q< 1's complement (11110011)2 .'. (12)16 €( 2's complement {CQ (11110100), firueEfttfi qrm q<RtFl{{S effidBwElts : 18. Efrirs{{6ftfrdQ q<{rtse? (a) 0 (b)1 (c)M (d)M+N c{r{E: (u) ; Bft"i(€d <6ftr\9-, Q=M+(M+N)+(M+N) =(M+M+M)+(N+N) =1u+M)+(N+N)=1+1=1 MN
19. Eft"trc< on cant-< qkqn5 c+rq cojb<r<qmc<re q{fie = o si<z (a) AND (b) NoR (c) xOR (d) x{OR firt{Ft: (a); OR cate q< 1R{6 AND Gate ilF[qtt s-flqEftqc$n16-(9 Q = M.(MN).(MN) = (M.M.M) .(N.N) :0.0=0 cq E&-s <$? qTiFf fiEHR.$Tit_<i-<tr qtfifr c+ns"lRqeTrdqmft{c6rZ [Ans: b] 20. (a) c<&6R (c) &r$l\5ld (b) q{rdvkT (d)<{UAir 21. a= 1,b=04TF[a@b=Z (a) o (b) I (c) 1l (d) l0 ,i:rt{Fr: (b); aeb = aE + ab = f. 0 + 1.O :1.1 10.0 = 1 (1010), q< c{Eq, {l{- (i) (10)ro (ii) (12)B (iii) (14)ro frcuamlBc6-rz (a) i, ii (b) i, iii (c) ii, iii (d) i, ii, iii {qt{R: (a); (i) (1010), : (1x 2s + O x 22 + 7 x 27 + O x 20)10 = (B + Z)10 = (10)ro (ii) (1010), = (oor oro), = 1rz;, (iiD (1010), = G!t!), = (A),e {o{t\ (i) € (ii) {l. }r8{ I ASCIr-8 cokud {t{r6{ ovE vffig <4, *,qx * FqrofifiEs<T{r? (a)728 (b)256 (c) Stz (d) 6ss36 {Ifi{IT: (b); ASCII-8 qsEqbfiE Gol-g{|3lEtirt 28 = zs6 E qfrq'{ <{, c$it <IF+rs fiffr <s-fl ${ r E"ng rg vqr ci{Frot-d clt{ s&s- lAns: bl (Dfr1-Fr (ii)qflvk (iii)G&€Er finrdc+tqOc6s? (a) i, ii O) i, iii (c) ii, iii (d) i, ii, iii 7, 8, F,..,....,....... qmfi{"1-a<q{1-4<rEZ (a)A (b)B (c)t6 (d)zz I:Tl{Fr: (c); *t!o?, (r,e,n ffifE cqfisfiT|E c(fi 't6ft-( qrsB r$w {kil {k cl{lst ws{ (8_ 1)16 = (F(15)-8)ru = (7)rc ; 6{r{Q, F Digit F qgksfintq qR]l qq&d ffirrE:flET frq.Fll{r ,qrl{, {ffi{ "R-<q{F{r{, G)rs + (7)ro = (1111)z + (0111)z = (10110), = (0001 0110)2 = (15)16 23. 24. 25. 26. 27. 29. 30_ rcTaSqrqo (100)2 q<( (M)16 qn c{FlsEsE? (a) I A (b) 1 B (c) AF (d) AE ccl{Ft: (d); (100)z + (AA) ra (0000 0100), (+) (1010 1010), (1010 1110), = (AE)re {i@;IT&EtE{Ts-{trr<&<4r+q-s'$@+-dl {l{- (i) ASCTTEFt (i0 EBCDTC E',tdt (iii) Unicode EEII firo-*c+nBq6'$z (a) i, ii O) i, iii (c) ii, iii (d) i, ii, iii qqI{F: (b); EBCDTC CslsCt{kqE IBM 6{t{GfT e ffi qfrEttr<<lssEq{, stt (it) T(, qrrurq6-$ B-s-{Er<ilr 28. qiffiuIr<r{t{tScs_ [Ans: dl (i)qaEaq{if (ii)axffrEq$BI (iii) qqrsfr{Fr{(TBf frru-drFFcfr'$? (a) i, ii (b) i, iii (c) ii, iii (d) i, ii, iii ftcE{Effi qV' qq( EtE'rr<6 sr{rEE-< clE : F&Ett< fisr rfts cn-d c<xM (77)8 {sfiF frqcqqr Bft"iroEfrFtioc$Bltr{crqEq1frsc$Rjsiql- (a) s6 (b) 63 (c) 64 (d)77 {:rI{Fr: (b); (77)B = (7 xg1 + 7 xgo) =56+7=(63)ro Efr"Ir$T csq:fi{ "r<-+6 cq?BI ffi Ffi r (a) (78)u (b) (100)s (c) (200)s (d) (7zz)B {:[{Fr: (b); Eff{r<rd cqffi( ffi cqffi <q, (77)8+(l)8=(ll1 111)r+(000 001> =(l 000 000), =(Q01 000 0002 =(100)a frnr Eff'r$tr qr rrr q<( Ettr ffi em{ir E-s-d rte: 3 l. EfrqmT@{6Fmrq oElFrt+tec<? [Ans: a] (a) AND (b) oR (c) Nor (d) NoR
32. Efi{r+-{6@{cri?rB<qfcqlNot cate {sofl{ @l{ culEi"llsrr{l{? lAns: bl (a) AND (b) NAND (c) x-oR (d) x-NoR 33. &RKE Ffi-\r,< rer<effitc< <r<qsc\"[t'ffi Ssef$l<? [Ans: cl (a) 2 (b) 3 (c) 4 (d) 5 qrdqfuc'l$6sFE? (a) AND (b) NAND (c) xoR (d) x-NoR ,lfTItIl{: (b) ; NAND q<( NOR Gate q'$trF rf{-qft{ dlt{{tE{r <t({f stql-rs sftEttffi qq$@ $A< qI, T6flr{ 6fR:Kr{{C$]-s{f{qE{{? 34. 35. (a) BCD (c) EBCDIC 36- A+ BC = ss? (b) ASCII (d) Unicode (b) AoB (oAB+AB [Ans: dl [Ans: cl 31. (a) (A + B) + (A. c) (b) (A + c) + (A' B) (c) (A+ B).(A+c) (d) (A+B) +(A+c) qfr frq tq"F on c'l&{qtBb$ o (w) c+ el.qq{ q{sErE6oFEqr-IIHSiINEr<? [Ans: al 13;afqft"Fo (W)q<Ig<( i61aqaft"S t s{ceqr{ (c) a coltrIf e+fr trt o (w) q+o<< (q c mft{t,{TFQr$ t e<rcqc< frcu< Efr'r+F er q< q<( "w<q srfd B-s< q'ts : F,{<fl{C{Ffr? (a) AB + AB (c) E6B 3e. Vftqrs s&"s {6d<{r+{s{ft${"t mt{tr? rql{Fr: (b); Sfr{rs <<ft[E F q< fi{, F=AB+AB=AOB ftru< Ea"l-sB qT r'{ q<( eff,<6 ef6!l{ E-s< qN : A B C (a)AE+B+e (c)A+B+B+C (b)AB+B+C (d)A+B+B+c rM ICTCSFIIITP q{tqfd: (a) ; Bft,rtrF< Ees {IfrcB< qEt'F, y = 1A + B) + (B + e) = G.B) + (B + c) : GE) +18 +E tq$Fc{A-fsmt = (AE). (B+e) = (A+E). (8. -) = (A+B)' (ac) = 666 * BBC = ABC + 0 = ABC EEfTTs t{"F "itErrK q(rlI Qcl(g qfGI ql;r q$E Frs,c.{fu1q.{ffir+fi<re? lAns: dl (a) 6ffit{ (b) c'E} (c) UEE (d) dBBr{ 246{($lFqF"ilr<- 11 csfurr (ii)q+tn (iii)6{sl[sfrcrq ficr<mtqFc8sz (a) i, ii (b) i, iii (c) ii, iii (d) i, ii, iii {{tffi: (d); "2", "4" q<( "6" qi ffi Disit t (gF{e, qstlE q<( Rqlrufr(TE qqfrqB{$lx ffifrd ftErql{ <trls r ott, z+o crffi et fr{ {$BI lhfu{ crsFtr<tEce itrn I 78 @ <liTkrs ersH q36a q1ffi q6q- (a) 1011001 (b) l11l0l1(c) 1101111 (d) 1001101 qfi{l{: (b); (78)1 6 = (0L71 L0l1)2 = (1111011), fua-<Effi qFEd c<r6F "r<<ff enilaEs{ru : B C wlTrl{: (a) ; Bft 'fr€d se-s tfl fr 6, F=AB+BC:B(C+A) 44. Z rg S qi cultF<ftqq e1ffi 6-s6E p q<{Fl W Er{? (a) 2- 6O NAND q<( 3- 6s NOR Fffi (b) 2- 6S NOR q<( 3- 6f AND S-?IFI (c) Z- Cs OR €<( 3- 6s NAND SiIFI (d) 2- @ NAND q<( 3- CS NAND F-?rcq >FTftfi{: (b); 2-6$NOR q<(3-@AND F-ffi, qroi"FF = (AB). (E+O = (AB).(Ee) = (AC)(BB) =(Ae).0=o(W) 41. 43. F q<${<E? (a) B(c + A) (c) c(A + B) (b) A(B + c) (d)AC+B
45. 46. ficDT csn E&-r c€trd qEb"F t+"lrir fuaE? lAns: cl (a) AND (b) oR (c) Nor (d) x - oR 1&fiFr{$BI rq&(g crE{t qsB{(rftd{l{ fr4r $ilFwti[f,$l-?l- [Ans: dl 1i) t+nBo <r+qv qiserEld frq'r {|{ (iD T$mEF nr<qE q($erqir qt+{ qtT (iiD{sRrffiB{c{q<tGfr frruqmnEc6oz (a) i, ii (b) i, iii (c) ii, iii x-oR 6'E! ?oR(\g- {,-{qs E{- (D OR Gate (ii) AND Gate (iii) NOT Gate frrr{g:EBc6<rz (a) i, ii O) i, iii (c) ii, iii (d) i, ii, iii cTIqF: (d); X-OR Gate €K Output F {6{, P: en +ae r q{R, x-on cate?skpAND, oR q<(NorB{E Gate t<i{qsqq | \ojt (D, (iD, (iiD ffiiq6$ r 48. e3[rs&$rq ao qswgqlq{frs{F$82 (a) t7 (b) s2 (c) 6a @) 77 ICT€IIFIIIIF qqt{l;r: (d); (4D)16 = (4 x 161 + 13 x 160)10 ['.' (D)ru = (13)16] = i54 + (13 x 1)]ro = (77).6 firxffi '6p6qra{,s<tliF "|<-{ff enRtwqt\s: 47. (d) i, ii, iii "tftrt-< qtqqq-+ ert IDB'l9l (b)A+B+c =----=_--= (d)A+B+C a CQ: fuis<q<q{rq{c{6 or. qfuft{$irffiGftz ICtg.B, CB, Din.B'19, RB'l7l [!fi m xru mfuoEE qr (0, l) <r+do<t.r binary {itl etEG r q{60lul{ft? IDB'19, BB'17. JB'l6l - EEEI G digital circuir o 2n c(rlFF input frcT n E output el\eTI {lit EI6f q{Sl[sk AFI I ASCIIff? lRB,l9, ctg.B't6l p!fi1 escu q< 14s"l American Standard Code for Information Interchange. ,4fr qs &lilfld qlEsl fiSrqRo co,ter c<&?mftr IRB'19, BB, CB'17, CB'l6l EEE esaq nip-nop <ErI I bit vfi q(<{Ft ${rE {-crElcF6&tEr<Fr lSB, JB'19, CB'17, DB, Din.B,16l !@ ftfr& cofv <r Binary Coded Decimal. slE-flrtr{frls'ft? [!ftoEnn<amru z, qisrdft? ffirufsFrqQrEafrrs 6 aq-{ls{tffiEm mt't Fnt{Er srf {FI qjrsk I \\ lsB'r9l lBB, Din.B'l9l 4e. Eftrr$<qr$t F q<{r+{Exr+ ffir6? (a)A+B+C (c) ABC Tflrra: (o; Eftarro<qBt"F F=E+E+e- =A.B.C=ABC 50. Eft"]r$=>- q<q6q{)o- <rrffi F qr cr+fE fi{ fur-{ 51q 6rft}5q md+ s'm? (a) oR (b) AND (c) NoT (d) NoR ;:lq,;;1x1.ffinr6{\_ o<qm --2 -./ =(A+B+C) s rT{IEsT 05. Unicode ff? EE tr.t< cqtB w q-oq sFkF $FqEEtr< 6$lsEi@ siflir q-{raBfrr$'Is <r+qs qg r tBfirors fqv q <?! n )s R6-d (stsr ql 6s[rsl {tvfi sa, aes <I, \)"8 qfrqsFe rofifiE o-<tsl{ r 06. Universal trib ft? lCtg.B, JB'l9l [!fi orc 6eNo) oit, q< Non ) cuElqrfi rrsar {<1T{ 01?! <lwEH E{t rIT <FI €(h-{ uniyersal cuib <re r 07. ftffic+tsfiz IMil 09. ffi{dqgI6qRST"F{'.rt..
10. rosa? IBB'19, Atl Board'18' RB'l6l WE {fuEit< Ftrtm <r<qs qGE <4, {$fi {t frrlr frtrs qqqtslc< frFi?Fro 6<Rtlrql< q{I fut-< 1o <t )) R&{ 6attrq6 a1q61 vfrBn ( unique) Tir+s hR c<t ql r et qfrql{ {ir<t\eTF 6{.fs (Code) naII R{ I Ir. rsr+qr<frft2 lDin.B'lel Eil rqr+< Req qr{rf lq$ q<( TR{c{d {l{rs utBt$ftrr< vr< ({{KftF qFTqeFFHF<Is{ etrf{sjs{kft<r{t 6rg-sl-it<rt'a lAll Board' 20181 ftfi +rotm <e ql* qsB fr{rlfrrlq qffi $ EtCs eFiI{tE t{t {r{CT< {(rrrl ecfF '[r< l 13. csfiqq&r6{qftz lDB, Ctg.B'l7l @fi c+nm r<"m "rafr< ffiq <l&fu <+co & c("lx o"6pa6qs otbqc (fu&D qt"rl6s{<flrr 14. tFstqr\5afiqftz lDB',lTl !!!l xFllo wrlelq{<]T c{Ft s et'r< qlr fu{ ftR Crr ;rsr R6cG NF 6+s{I q<r eE frfl ertl-rs <lI E{ 1fr{F EE:fr 6 eo stulate) | rs. s&-sc'i$ft? lCtg.B'17. SB. BB' 16 | p!!t BooleanAlgebra .eR ffifro ft<f a:rq: logical OR, Logical AND s Logicat NOT <l${EItrl-?I BT{i fl {<FBI Digital Electronic Circuit <lT{l{ F<'l' q{ ElcE<IcrS Logic Gate {FI I a cQ: {gi<Ie1-i{a-+ ef$ € i{il8-s-{ or. ffiff2 @fi<ffir wr"m {qfucE {f{qs Efrs <l qs 0 q<( 1 @ bit (FI r 02. T$llqh&-trF qqr{EF{Efr'tvFts-fi ${? Wilcr"BI ffifuT E{rlE Et sl('l srt Fd {l{ r 03. {(fiqaGdfrfrft? p!ft mor x"m qsft< 6{c <t ffi <eF,h ci"m qqfuE<r<'dE flEqe{ e6rc{Rdqr"B[-s{xH r a CQ: f is <R<-{{F{ c<N6 "fAs|(q-$r{dT{s E{ \e i{ilE-s{ 01. 6+5+3 = 1110 -{es'ttrd-<f$tF{I Wil o, s, 3 6$ oclal, Hexadecimal { Decimal € E(9 'iI6{ Hexadecimal, Decimal <I Octa 4 (6+ s + 3)8 = (16)8 = (1110), (6+ 5 + 3)10 = (1.4)ro = 0LL0)z (6 + 5 + 3)16 = (E)16 = (1110), q4qaq-ffiag<1 ICTEGFIMF 16. ftr-+fsfdftz lsB'r 7l [!!l er-$rsr< eo <-<c"K qr{K TIm { fu&tTq qlffi {< {lcl.tr] sftEi1-6{ {|{{E sF{ll-s ${[{< 6I{'1Tt \e-l{l{ tr'flqd +r< r s{tq &corqd &&tI{ frtqrrqm qlr-{q'l frui-lifcE nqrsRg F'({ r 17. 2, qaqfrtil{ft? lsB'l7l Eil con qffi nrlrlr EGE fiir$'Fs s13 {l Effim m cc?Bl {I\B$${, q-rs ) ,4< qRtr-s<qI qlrqlt{lRc(rfirs > o< 1R"5+otEffimfrr+ ol-<t fiC?t ) C{trt Ttr C{ C(?BI "hB$ !]-T, El6S t S< "iR 5++<+qtr 18. q$]t{hG<6nsaT{? WilAn< Ae m a sE frlls st" 6{ {hfu'o ricf{t s-<1 € glrs {irlrt "iqG <r{ r 19. ffr*r-qqrqrq-<-<tftz IJB'l7l @!lqsi 1t s{Eqr ffis e qfu< +cq'qq-6 qtR$KF'($r q<(uins e {Gn €"K&fr+m eo tr{rmr qjFrm{{t ?.g-R +rT{, <n-+ gFrta qiFlrq<3tl <EII q{ I zo. sPEbmr+tsft? IJB',rTl lDin.B'l7l @f, -F,ffiru Frctrq <Eqs sGE <{, qs, qq?t.fi, etq's <I fu{ 6kd.s eefu ffiq stqttr+< wr <tffi fr6< fr&{ fr"flrffi clEl"csl qfrB:sqqr$s?oRc{l € fit qfrq-{ {(rs-srF +FEbRmM<rcr esftvfrfl{qqrlrlffiGftz EEEcq cR"BT tqfus,u 5qq <t qfrs <t<<E q* sn-+ qgrsfinlq csBI eiq&{r{r EBCDIC C<'TCE{1ffift? @fi Extended Binary Coded Decimal Interchange Code. IDB',r9l efoft or< Wq< qTEcs binary {FIlc{ 6 + 5 + 3 = 11.10 IM
rcT ef*FBr$F q,er.iL<ptv -{t\ql" et{t x{rce,llcd- {fl1fl {|rtl [DB,lgl Q!fiUnicodeqn,aF{<r{dqFrctfiErqR-scstsriBFrsrsqfi!<rtsRrt-dcsfsrFrt)s fr<tsc,c\eu m qfrer 6qro fiffi q<t slT r et colw-< {rft{i fu{ cqtb <v q-{-E sFrs oPrE?rr< @rsE@ qfl {qq r t$firrtsqffift cotrs<ff[etFqxBq{r q{ts lEfrrrtcEd EeN \as fr coswtqft qc,y F c+trwq{mtr Unicode ( il(6t st:tl6Fre s-gYzs, T,-<t qne <rE iatl Qs C{ Unicode <l(Et eFg T<Ics 'ntr I q-q< {frt{s &&bFr <6ftro c-fi sT d-<rt$t <'{ r [!fi +"tt-qot*unr+<s-d]E{Eams{z'scompliment.qfr <6ft5qasqrm1ffi -fi tt. eflv rn th "taGre qtr{ T6ft qIc'i {t 2's compliment q EIcrF[ I 2. 1's compliment q 0 qTq-{I+0 € -0 tlleRITl{II2's compliment € {ttr Tl r .{E{I 2' s compliment affi6E qgq 4'56 I r = AS + aC + BCI3Ft+;tt fificnrrune, F = AB +AC+ BC = AB + c(A+ B) IRB'r9l IRB'1el lCtg.B'l9l 02. tBfrcaM ,c{t\qf' EFI $Es {trd- <Il$t T{ I = (as + c). @n + A + B) = @r + c)(n(a + r) + a) = (ar + c). 1a + n1 <trmftlsqqr "1+ 1+ 1 = 1" <l'ltf qd? [@$$qwE[q<-{t< mm 1+ 1+ 1 = 1 rlfrnnqlFrq-fiF$$qrsfi6qTclc< 1 * 1 = 1 r smr<, sr{q5rsq'rtqTq.'{flr{, (1 + 1) + 1 = 1+ (1 + 1) r {E{t\, 1+r+r = (1 +1)+1= 1+1= 1 +fttbn<-< stslr$ {ITtrtr c{l{'Fll vlrt{r fr'Ilsrtrd llRSE <rt{il F-d r [@ oFrEtfm< vltro {WT{ c<Iiri{i El{t{ ffitsm{ ltffi {6qt &rofsk r fur+rq< {E qr{ qFE ll-{T fr &tIE cf m TR wlEt lr n E tr$ errc a-{rrR-+ 2, ft q!8"$ qjtffid,{FEr'ct e<tftc-{$BrcoqtEBt"ttelratrlpaa 6qfqqrBtlBqp?+ r $€$stmsf fi-v,< or< trs,erqk lfra< E"r< r frGn <<fld fuq,Mfc<< <Kqr{ fi'rtt TF {t[Er qr$ 2 to 4 Grslsk, 3 to 8 fucsrs]-?r, 4 to 16 &r<rlsk M q+sr r .e-r< q'fr z to + fr-coluk <r-srls{ s-{t $n r q{slw< q'E : to a &rsrsk <lsrm"l T<1 {r{ r wlmvrr<qt a to sfuro1ulmn{|{1-m' q+fr +to 16&rsMir<rc<rt${o<t<I{rr 07. " .t, T qfr,tr-r T-drq {$]|-{ eflEr 6cer qfuT q{,, 1firrr ce-+ r [@ z'< lfr"g-+ +<n qr:BET e{flq Grq-d {fr-rr6 R{ r 2" {RTrrcd ffirq 1,sn ,tR'Irro-n ctrq r mn +i< ur}q c* Er r qmrE B€ fr(R{€ qfr{6 E{ r <]ffi frerq ISB'rel c(qlt-rs 2 er tft"5<ro "tfr-+irFcrfrlasFFq<rfrc{.rqr-dq{r {FrrrE cfl'trttiB {("l]m fr({Ft F-{F ErEs CTR51-?T EktI Et >rqR F<I TIS I q(Frq C@ eflE frt*'c-+-*t O-<.r qs qt qlffid mtm qR<-6 q{ qI e1 Srq<ffiq{r qio Qryt< qns Aqt <fsqrsn T{tr ;rts c'RF drfl q-fl Ifi rrg ffi{ r EEE"nr t*t< eNo caiE <s<mrq uE NaNo cui!! qmm{ r "ftu tq"&t< aNn ffi A'ArA.A.A. r aE; TiaFffi A1A2A3A4A5 lCtg.B'l9l lsB'l9l A1 A2 AtA A3 rM
rcTCGFIII$F 09. qrF 4- ftE <titfr ntB-tr* +sE xcir etrs {Ird?<itrlfl <td r EEE eafr +-uit <lffi +tsim o cetro ls "r(s EofF {r( r +tBir< sE er{ erB FRCT&Tm clffi $ gtF qrr{TE ir$ "rnu-< wsit s"tF "ll-Gtr FluA3r qr $I(q< offir< <t ft.m +nw q{r {r+qF srt qr r TtB-tt{-d tnt otl.ffi ({lro rBt 'itE{s <rq) F-s 'll-q \trll 6$li efs.{EF eficsrr otuBfiF8qr{ old'ldqfrcu "ttr<+q6mfi.or:-tr<s EIFTIo qlr{r TIutf<R&n q-{({d Tm'q (Sequence) <l G.:l qfldct q{F {Gr EGI q?[CFC{ q-?tE \e ryqq fi"{C-T'q q{ (lffi fi-tC-<q r Cq oEE< <ffi FTGq w1c-rI Fr-< wo frgraq ntE-tt< <re r qrB n FE <tffi stBik {q n F &'"t-p"t e<( c(ftE d?t ftrl ?,c-R <"<r cIffi {I <lflR n firE qft , 0 (e[trF 2n - r "dg Eq-fi fi"-{LTq(s q$-itct TiI[s'ftGt r lBB',l9l 10. FF- q tr{{c(liB ro}.{rtrlrt <rd? lBB',19l EEEleetufrnsota&rs irr;ru q<errf{T(?ft (100)'6 r c({fir (FF)16 e<"fr{dr({-rltqr<frqq\Is-dTEs{q({firElt(FF)16 e({rtr{c(=titB<Ef (100)16 r rr. frr'l-*q-{sst{tra 6$lv-gss{tTs{r{[{(q-<iHfiqdr UB'rgl EEilAr-r<q-+-csFImMEqF-{r<areiFFrc-srsq<{t+<lc{dltqtm<tsc,c*?9frqfrQxGer+fiffi+r-<rcr lBfrlrcts" <K{-< F<t< qt{rfl q <E} <D'b fr&d @M Erdl ctg6 F€ fifi8 qfi rrls r rrr{ EFI q< {tlTcrT frrfi c?F4 st$ <cr{Rstr{ Esf.t F?[ sls I €( {G{I Hex 0980 eIFF Hex 09FF <fsqI <4 rg efftE etrOf{ om r esl-F iGffisfuqo-qsf{rsersHsmr r+nss @itrs ylqr$ftss dI{ ffirgcffi ffi <it{it F-< r IJB'1el EEfi mnu< r-t<tro fl $d"t sF['F ifiqrs{ q<rs q-dr m m{ rr+<o q+ vlr+ &r+rs]T <m r &roMF E{ er{ eoB q!-{{ qffi ffi qtqtrqj n 6 t{,F catrs xfik{ z, E \flEt"F qlt{,tte{t rF r frraMk {r{qld si{ld {t(lT{ csls sFIl{ 6{ dI6{ qnrorw drc qRts s-fl ${ r 2 to 4 &rflg]-< , 3 to I &r$lq3r q<( 4 to 16 fur$lvfd<qE<Fq\'t 13. 9 + 7 : roTg:rft-+zsrwfi T'{r EE s + 7 = 1s s1 s'iFt {s<, {?Fr qrmf €sftsfrcr{ cc$I qhfu€ R{F s-fi r @t{R{rt 6Eql<I eFFl.tq{ld 'ffietci?Bt qq&r aqfrsfrGET$ll qafr< ffi{ 16 q{tq ,4ro fib 16 Fqs (0,7,2,3,4,5,6,7,8,9,A,8,C,D,E,F)Slrqrqt,a66E.tfrS{(?m{Afrdtoe<i]r{ql0qE{rqq{.9+7 =to<rcqgt[sfrN{"|qfu.6r M(M+N)=M<i[$l<*rr [!fi rr,Ilrr,r+u; = MM + MN = M + MN = M(1 + N) = M.1 = M G&tt6T Mc{ nqqE {(rtrt qsG {trlrl {'d I EEE! fuefu ffic {r{qs {$m qqB <ffi c\"m q6& d r$q 0 € 1 frr{ Ffsi r6d I <iffi <r ftft-+ r<"lit ,taG eglq ElB aa$t frrr rfq srd r qrFGI cl{<.ls 0 celtrF +0.8 volt 'f{g E&-r 0 q<( +2 Volt ECs +5 Volt '6S 1 6{l{F r qrrCq 0.3 6e155 2 qiEtfiE mt rfi${qstGt 0 Slitl oFF q<( I oN fr[ftt +r<, es{r{<tqTfi{$Bt{qfu{r{qEqrr ers(Eq{frs{$lt{qG<r{{sq{qI,F]-?Hsr<E)otrGnftwG-+ v.{st{ fu < Er-ltqq N, rrt l:nrrfrtt I 16. NAND ctE!ftrs on ol!<ls<rl$rrirr 14. qscsfirTq"thGroEcromqiln6s:0-9,A,B,c,D,E,Fr:F.6{(FF)ruqmte'iqfuElt vrr+< rfgs lcB,19l lcB'r 9l lDin.B'19, CB'161 [Din.B'191 [!fi NeNr c,tb frm on eiE! frr+q <rs<la-q +-<t q*: Y=A.B=A+B=A+B Y:A+B I E qffirtlqs:r*Rwqqqt.. (I \\\
u. e-frfuscqrllt qsG<rlrtilF{ g-lsfg<t C(rBI r "l6F <ilrlItTlt I [All Board' 2018] EEE c cralT ffifus {lq 3 fr fr&t <t Eq-s <Frds s{ Et Effit 3 frfur cRrrr ffi r,fisrq {fts eF "trcr o, l, q<( 2 I q(s@ Base{6{ 3 rqFslt l0 Gfur{$Bf <tfrfrcqET clr$ 3 &fur,4 m flErT< ffirq 3 qRtsif'ts-{cs qT I qR]3t Gfrce-q ccl6a 3 Ffrrs mfl|sn T6{ Base 3 {rd $?r(9 qr< I cq:Ft : (127)3 = (1 x 3'z-i 2x31 +Lx30)10=(16)10qE3Baseq(1ltqqGr t t. +r cltct-< :r$q \qt est qffi deffi 6fi fi -s oli! R6qr{ oM s,rd-trRtm ffiaI r p!!l Non cut" eT q?FE Input qs q(E EI NoT Gate q< rE sfq sr{ I v=A+A=A A---r-----t f '--------1-'z qrF[Er Nor gate qsF cfrfr"s c$ qdB NoR gate I qs {s-{ fu"F q+t <m qE dG-s ciB q1 ffgr gIq Fcr r 19. QEFGTITS{ tr<{<r'rq 6{ft sI{qE qtqrlREEfirerr{ @lsE qFBtcq r IDB'l7l EEE! QEfr[TIcsR "E{ q-a166n ffi 11-qqE qfqfiFU(ILT$IE @'ls E{ (ASCID cs[e r American Standard code for Information Interchange (( {ift$ s't ASCII. qfqft qsfr T{q E5fis rlu, <t u fr ffi {68 E{ r 20. {lfrs sIst(<r cErq< s.lriEr c<tdtrfl< Errqtft q&-s fiffiB rl]FBt T-{ I lD B',l7l ft!ft qtft+ slstrs qrycl-< smr c<Ffin< B"rcrlft q&-s {ffiB qq frrstsm r c ltffiFru fifi8 {st]T i{S <s fiffi {<"lls qEEt "tt€$ q|{ El.rs 1ffi{ <.drr $FDIWrffi qgt"F Wmt cfls eFrt{ ffiql EaBcF fi{cs{ ffi$I] F<re &mlsk Emlq{ q{ r 21. cotzr{furo 1 + 1 = 1 q<\1 + 1 = 10qrl{,rF{r EEil$atqcqft'r1+1=1q<(<lt{RGkrlr+r=o{fritqRfrt<IE&-$iFrflt(5t1+1:1q{rqq]frm (031) cfirl<FrrEI(E 1+ 1 = 10 q4l\ 1 qn lT{e4(?ri roqscQ<tffiolq&<c{qz r 22. 3+ 5=106sfl<iFlllF{t [Ctg.B'171 E!!l s * 5 = 10 $rr TfrEEIE {qfus: € 5 crt'todE{v(<sdrFrar r0 qr<r $filrrq qqfuE 3 € 5 c{Ft +<rs s q{ ft-g 6sEnll{ B qEf{ I 0 e< {{F I vlt aEI {Er 3+5: 1 0 Ecq I zs. qBfu<{s Rrfi q-+-q Et{Mft {T{d q-ar qfiffiq-{RnTfr'{, <ffi mrcq r + 1 = 10qrrFRqlfrll* Ftc'i<s&-siqc{r'tervt{rft'-qq{rftro<tffiflt5tltqsRFi? ICtg.B'l7l fu&tn fficc <l'<El{ F-ffd qdr lBfu-sM {Frq\o Es r lBfo-+rs cqtro \trffFij ffi c{'66 {ffi c{t qT rscqa r g]q <-{t c{ tUFllTIs fuR ]rs-{ smMftcq-< srr q-M r 24. Effi gffi'Eir ur<E fr,t-r"t ttro-1Rnr rr-+ r ISB',l Tl EEE estr&$q qFftEqBI {k"tF<F qE{ r cmk qrqq6o*{ q<( c'i$ q<qr{c{ 'tfie4ffi 6?tl-6q EFr$E &qF"t qsE sc< <ffi fiE {rrl <rrd effrs I n - fiE effifc< n {(qFF fr1 F'et alt(<F q<( n - GE {ffisqncs<F"tT-{F qE{r qq{r<Ert{l{Ekm m&ft-{Dffift{r' t affrsr 25. oR cidT Es-f{ xoR c'F q" TF{t-{rlrlrt F-d I IBB't 7l [@ on oiE li <I Erslfi-o <lffi T(?I]EI dfu-o c{1l"'lir 6sr?r {rirqs qr I 'tstsK x-oR gate (TF frc.Fr fi]i! I X-OR c'EE lt <t E(glfi'f <lffi q(?tiBr GtC'k 6srq <Frqs q{ qq{r on ceitrt-< Es-ql{ x-on c'itct-< qftr'r<Frr 26. (14)10 q< {:t-ss BCD 6'tu q<(<1t{tfr {rBl-"rl[[{i rl{FcE csft ffi S({tsfl lRr{<E r EEE (r+)ro qF{Tqs BCD <EI 00010101 <t s ffirqi{firs 1r+;roe<rror<]ffi{f{ (1110), {t 8 FE r utt <+ <m ( 1 4)10 q< {:FF{F Bco e<( <lm {(1rBr tc{i BCD 6e c<Ft fiB erllw{ r \\\ [!fi! Wt*ot" t e fr&< qwqfiErqRo csfs <l.'r 4q QBF-EI{re cors r "lRftd +c{ smk <(, {$BI € Ger{c lBB',17l JAll Board'20181 lRB, SB',l7l 'IMil rfi-{64{qvrrlRwqq6-{... e
27. (11),0 c\$1Brs 1&.r{r{ q(fi:rErET 6s-fl ICT EGFTII$T 27. (11)10:t(1iFtrF el&filEr {$lI :l-Et E$ 6q{? uB',l7l [!![ earn 1rr;ro ri*-fiBn 1fra:Tq?Bt qqB{ e<&fr<q 10 r q t6frF 0 - s "lfu ctlb to G dfu+6e q<m$<Glcq I qq{ (11)10 {$lflEm 1&fimq($f <6ilq{r zr. qFEarr-<crrs&&tr{firFtqBmffir+-flvl=Bt:nitr tJB'l7l p!fi fuefiE +{'16 <lffi mns ons pr<r fr&trq fi'tlir6{ qrF 1i} qrF qN 'lfn qem frtHq E iQ\rw1q@ +oro flIr< qarqr< qrar <lffi c\fi flqG< frq (c{csr E"E rHEEm< ffi@ &&t[E futfiq Emrtftr 29. 5D 6sFt {-?ri< {({rt? <iFBt ffi I lcB' l7l p@ so <cat eetrvfic+'t ci{t r sF.l ci{rtftF cF qs e <{ {t{{ld F{t E[T(q I rQIl 5 ,{<( D EK el-sF c\$I qq&< x$ e{- eslrsfrcr{ qq@ eml q$ e <( <r+t< qt r 30. 'output, Input'-qF cfrfus fr{AE -<iFlltsT t ICB'17I [!fi output, Input q< cfifu-+ R"tfts ffilNtF Nor cflttB-d (T@ efmfqJ I Nor dtrF e+tr cfifro cqE! r {El e+Ftl$ e estrstBt$ attrsr qt c$ dfu-s 'Fm<retqor< dfu-+,Fce 0 ,4R tm 1 q<( 1 q< el{s 6< o rvdts Nor c'id{qBttt{"IttrfrqAsEsrEE etc'lbrsWrd \e<EfiErr st. l-e<,tR'5++'thT{ Emlqilvt<iFlrf+-ir I E!fiq q<"rfr"F-s utlrl (+o) € (-0) q<${ q€{t<rom{xlcalcFiffil"Fr s qF qRtff'ttinq-fi<6ft el{tq{{tElc{*$ e<(E \9-'l&(sT'f6i+r<r I e<"tR"1a-+ q}rq ({t"l, frr-T|rt, e"t€ stc'ldsni qst<r6<i-++< F<t{trrrEttqt1fi-o+H6rc< c q( qmffi {}n< qr.lMflT'-rqtRft{r 32. 1+ 1= 1<il$lT!rt IDB'161 EEil r * 1 = 1 er str qsFa&-$lt{<t dfu-{ GH{ oR cl?Dqm<fqm{t<l<mr oR ciiFtr$.eml{ qc{T FroF .{ffi tr"Xt-d qH t efetqBtt t Ss r :s. frr*cur*om mtr'Br{tqrcr{€R<rFBtqq r [Din.B'17] IRB'161 "rfi1*+<omr*rsBRffiEra{lrfi<lffiqrqr@F{q(qiIr$qqNt.F<<r.oqr<mEs<t"uq$I"vlltmfll'f c-+6{qwcqstR({rc'RFMqrTr {5{t( q q< tR1++<ir+<er< Gt1-?r{l{rccRcfic'fdrrqq$q{r 34. (267)ro {({ittrFFftE?ErC-<MR €l-*tTGIql-<rlrBl$-:t I ICtg.B'16] fi!fi qfr-q 6wq q q<e. ) <ffi n<=l-itqhBd xn< mwa4( r vtt TF iBit{ <t c-s-{ trs}fr-s ffi?{ <ffi 'i(?l]l q6G {r{ds qn I 6qq (2 6 7) 1o <tffi c$BT qqG( m- vlt 4p696* r<ffi q$ +<ro "nr< qt r 3s. (2e8)Bn(qrlBq$'E5a151ailqfi T-d I lsB'l6l fi!fi izral, cirl-rtF {6s ar r FF{ qstt{ {$Bt qqfuE <r+qs ffifr.{ S'qerEI qq 0,1,2,3,4,5,6,7 r q{s q$ile qqfr(g 8 tr6fiF-sGe<rl(qr +rqq-sDls "iq&< c{si 8 r crqp,s{Ir{ 9 s 8 {$BTEErr{qEqrmq sttcqqrlfrc8sqlr 36. xsp r<r{ cfifr<r cqtdr rqEs q&$ c'ED- <ltltjt Ti[ I fiffixon orrE<wrffi<tsrt{Fr ceIFF cq"tt<Ire{so cifr'r c'FAND, oR, Nor rFrqsqrfiqrslt{qIlll xoR c$ roq dE'$ c'16-d qrfrs s&,-{ flffi r 37. D"-'n-qtr cfre-s amt* EftfifiY+r*L<rlrtfq.{t p!!l mn <trR x<qrl-< )' e< qRt{r$( {kct ) Gttt TGI R qrl "rl,.s$ fi{ Etrs q q< {R1ils {cE r q qr IBB'161 uB'r6l @;P- 5* esB q{ FtlQdr Bq <t dfu-r Rtr'rd EGfifig Ftr r D* mm * q< (on) cqE! r q< ci$ eR t{"Ferst+ dfu-o mt{ < r lGrrq qt'Grs csrt sr-< qtB?1d< 6affiqffia'6qe11-6E1 6aa. I :t>-"=^-" o, ,i,tu ffi(fi q*fifiys* I m qffi-{dqErrlhm*tuart.. (I LU] \\\
38.,qSr{&-{R&* mts"- lFlrr FNr 01. ,qsBf{&-{RF{ctdw- lFIrTeNr [Din.B'16] E!!t qilE GroIffi cr=Btm <mF <l fr6 n"ilsr r-{rq frq ffi 'n*s{t TF r c< xi?B't 1q&6e- u fr cfift -r GE (o, ), \, e,8, c, s, q) cfifr'+G'<<rrq<o-flq{srr:Fqtmc$rqqft{rqr R:r{c meFFtc{<qlrffi (:::) \{dRG{fr6<{rilr6rtcEtEccqtt q6&-{q-sE dfrsSeqTqr$ ++F.t+-<t:tErrvltq}rqfrrfrF< mrsr a CQ: irst<tq$|{{{.q-<F q{ e i{-{tEE-{ eFrFtsir : A+ BC = (A + BXA + C) p!fi n.H.s=(A+B)(A+c) :A.A+A.C+B.A*B.C =A+AC+AB+BC : A(1 +C)+AB+BC =A+AB+BC =A(1 +B)+BC =A+BC=L.H.S (proved) A+A=A<ilrRIGtl !@ eourr+RFB1ft-sngfitnrodG-suq{qT<rqr A + A = A qE qrF ffifrE$e1eftqr I A=0Qrq0+0=0:A A: 1{FIA + A: 1+ 1 = 1 = A ."A*A=A (3ee)8 {ilfiE {frs ft{t <rFtif q< r fi!fr 1aoo1, ci"mFc6sr{r qBlErt{t{Fntrt qti6qrp + qq-rrrqkF-{tqs 0, 1,2,3,4, s,6,7 ,8,s qeeffi qBrq x1-fi 1qfu16 <r{qE c{ Tt I Elt (3 99) s {$ffi c6s {{ r qit ryft .s frfrfu csls e< "ll{-sr' fr{ I BCD 6{ts ASCII6d9 (i) BCD e< @ ninary Coded Decimal (D ASCII qT 'I{sq American Standard Code for Information Interchange (ii) BCD c+rs e{ q-{frs cr"Bf qq&< q(F ffitsq-*qr+qsqtr (ii) ASCII mfstrrr<&<{, q\e s fiEFEfr{<q-{j' {r{qE<{r (iiD h{r4ffi (iii) ?q'67<rsffi (iv) BCD c+trs< <r+qt< fifis (iv) ASCII 6rl[E< qr[{k $Prs ff-c{M caEF i{t 6q{E ctc 6fl{ clffiB rrrqs cfl EEEI ft c<t6 cqro ttF m{R csrq Encoder:tFl-QE e$r ft-6{M c{GF uncoded data input fr'{t qTr +FEtmro r<nu{< E{I qrs coded data F ffgRE F{t Td<Flir I q sm Encoder frc{ T q{ <(E ft-rtd can-o Qq"F frp nncoder <FtdE qrl I qRM vBt qfl il{F Buffer <FIqE q{ I (267)roq{rlrsrFtWKr<ffi Oqct<r-<-+-<,l'rtritT-{r fi!fi 1zoz1,o rr"Btr+ FftEB< {d1rR ,'Rg s'r{ {f slst TPETlr<< fiq? sF{t Erqt <EilR gFII r (267)ro crffisF{Btt{m 6t4tr{1-?rwi<tt{Rq({]l{Esf{srdfrF<qrqr<.tFpEtTc<<qsjsA.tfuntsftrlF <tffic$txfrcq{sffiteFFHs-dsErrqkst$tiI6rdfr'$clffi<lt{rRffi\E-qFfqsr{rElilzozlrori$lE rPEbr<r<rcR€f{tFFqtr 03. 04. 05. IMil \\\ {ffi€qurrrfrFrqEfi... e
rcTEHFrISP 07. "1+ 1+ 1 = 1" - <iFlfisil r EEE!'l * 1 + 1 = 1" Logical oR €TR-s<lIlFI r Logical oR - en dfrs E t'lIql A + A + A + .......'..'.'.' + A = A A = 1 {m 1 + 1 + 1 + "' "' "' "' "'+ 1 = 1 ." 1 + 1 + 1 = 1 os q{froe <]ffi{$mqq&<"lldsrcq{? ftft q{fr"r s nrffi:rcitrt qqfrr qt4T.r: q.lfrs'f(lfi{s& {iffinrqn{sG (D q.lfi-s{("Bl flhfus lo Fq\F afirs I (i) <lffi crBI ffif\91€ \E qio efiro I (ii) r.1fr6 n$31 qqG cFrltrls 'fcFll{ FlGi qE{Tr{qRFKT (ii) <E{tR {$lll ffiE sFqE}Esd fiq? sl{l r (iiD E"{fuo {sr'rT qqfuT r+cR sftEtrd Qqtcqrtqr+r (iiD <ltflR {sn 4q&T q-<ffi +ffitn< tqSfirtrmr 09. 9t]IRtr ffiair6<rEBq|{<qrq ASCII _ 8 : fifrtrRB ffiu5 q$rt{FsftB 10. {({lt 'i5&F 10ll0l ft <-<1(l-?T {$lI? <lt{rt o{ I ffi rorror,a< &fr <rn cq€{t clt I <fr' (ro r ror), Es.c-c< qffi ccql (101101)8 <{ E[< q?lE Cr$I (101 101)10 q{ E6{ @FNF[ {$BI (101101)16 q-{ \o-r< qglrsfi{lq aq$rt a CQ: frne<q<c{r$ r<M 'f?Tt{ qr{FI \e EEvTqsvl"{E'$ {* \e q{{IE-s'd omfr{crf{ G{ftsm Icr frs[Tdc$]'l qqGfir{qlrslrqtF-dQr{{r Flcrr{ qF 'Iftr{{rkt fitr{6T s 6{EFrs &re.q qdrdn Ftq-{t >r qEfr{r 'tftT[s rCr fr{rs +u ryr* c"imQrqf qlr{E ({E (105)8 q<\ 6{RF irq-e @ft ascrr - 7 c{tru-{ fi<rcq q$tr qGks RE mt't sr,< ASCII - 8 q sotlsRu sK qRfi Ik F{t <{re r q q&k-s uit t "titfrE fib mrn: ASCrr - 7 ' 4l oTol ol'To I ++ *tfra .sgprefiE (4F)16, Ftq6 <r{ {lTr fivr Tqq qlEr qtfu (100 1 1 1)z .rffi e[BR r ('t) firold dtd TfiE q.1fr5E 6"fl-qr <'-{ I lDB',l9l ({) 6{trqq € Gtql{ qd €lts {{r{d qffir {t{-ri 6fic'f{ {Krc{ firfT F-{t Tlr fut? fu:N"t"Ift rElrs n€ r 8 rMm \\\ ,rfurq-{qsnsBmq"m-. e
tcTerSflqp E fism qtsm<Fqq (100111)2 r ,{r$ q{frrosqlsnrinE, (100111), = lx2s-r 0+0+1x22+7x21 +1x2o: (39)ro q{R q.tfrro fi-st( {?-:r (39).6 r E frEqq s 6RIr+< qTrr< 6qrsF qTFro 2's compliment rF{l RFr st< ftaf q'{,trd qrB m< +-<re E-s qm qft-< "ttd$I Gtc'ld$$I{ "fl\e{tfi6< rfrOE|Fr{ fi"lfr{IRE: ml6{c{d{T< = (105)s = (001000101), GtRlFiTfii{ = (4F)16 = (01001111), fltrqfl< {T{trF 2's compliment FR01000101 l'scompliment 10111010 +1 2's compliment (10111011), qrE Flq[rfi 4{GK ftq eF 6qrul6fr01001111 10111011 overflow-+ @oooororo ... 'tf{s,r = (1010), = (10)10 = (12)s = (A)r. c{R Glc"ld Tt$T{ EEq-< fficK ff"fi 6.rir sil TIr{ I Eft'r+F qv e<\ frru-{ et-.$orel-{ Esr cT€ : INPI]T OUTPUT A B x 0 0 0 0 1 0 1 0 0 I I 1 ('t) G-6-) mlr r'Rdd rtrcl {q.lryf q:r qfu nt',s r 1l1 Eft'tro.* 6-o-e qr oiqi ftrt FE-q qr olq?rs <Isrtffi +-*t c-fi ft-{p frrfloi1{r rsfqs q'ls I E Eftqirc< : qr Sq eNo crtrt< xtret a6i{ r frru AND sate qr <4aI fis$ qmt r __t_v_ -tt AND orF< circuit' L ___la * AND c:l&< Truth table: A------l-\ ANDgate: el-_}-c:ea Input Output A B C 0 0 0 0 I 0 I 0 0 I 1 I AND eFFl.t lDB',r 9l I 8 IE Eftarc< SGII tg \\\ {fur+dquIrffRsrqffi... e
E Eft"n+<Fq-\eE{NonriBr$-:lFq\q{x-NoRgate. NoR('l-F{{t{fi{x-NoRCrE{ts{Lr{$-dl<l-qrfi(D' Et ql-rqlD;[ Fiil q{: NoR crE E{ Tffq+{ aS I q( ${IFT flrsFI c"jB <ls<lrq o<t rq< r XNORC'IE<CS6q: X = A@ B = AB +AB = ffi = AB.A B = (-A +trXA+ B) = (-^ -E) + (A + B) Ef{lf Logic circuit fr {r{- AB q]-FrIFrl{ 6.Ir{ T4l {I{ G Fq-e ,a< Cuib &'C{ Fq-e q< 6'lB <E?rlfl qfl {l{ I 11 ffiaa EfrFtu 1E s 1fu-< sli{-< cl{fi-< pl <ffico 6{tb qv qrs ffi T< r p flan s 1E< S'rqr< arra-d {ryi $tlcm cqqwfrmq e Erfi-{r c(rrmfi{T Fr r E BftrelB<B"mr+<qN = (sD7)ro ,ar{E.{ft-cofr(T @ {t, 5D7=5x16'z+D(13)x761 +7 x160 =1495 ntu<E"i'qn-+<rn = (eee)10 .'. nlB = eee - ,-T;,1r.13r10 ,{rofigRrofrrr {t, 03. TE, Awe s {E {q{A-d fr<rq$'rqrrr {anqrr (5 D7) 16, (7 50) s c (999) 10 EI:FI fir{$'rEl-< ffft q{ {fE r IRB',19l 8 z 177 0 0 1 .1 <]ffise*ffi= (2494)n= 0 (100110111110), z | 24e4 2 11247 2 | 623 z | 3tt IMil bt qffirtdq'nrRoeqqffi... (iI, \\\
ICT €GFIII$D : q{8l{-oo ( E Pmrffid6T@, (7s0)8 = (111101000)2 = (1EB)1. 1E< erc-o, (5D7)16 = S x 162 + 13(D) x 161 +Z x L6o = (1495)ro q{rq 6q-gtcvfrTtrq pwrr< Et<rm ea{{i (1E8)16 q<( Gfrct(dr eg< E"r{nr qnTdTI (14es) 10 o4' rRB'rgl (tt) Eft,lra Y,sd crdr{s cf{ ffi T{ r (T) Y,S{{it6r{s {r{ m NAND diF si-il<[s?tti-{F{ I ... Y = M+ RT s = M.E.S {y qi{Ffr{fl Y q<IT+1E{Fr, v = M.8.5 = M.n.S = M+ R+ s {fi 4[-S NAND gate Ek[ <ls<ttfi:FirFl q{R, y q1 {d+{s rFrs qsf6<r <f€krfs{ F-dl {ir I ffiqqfrFltc.lRe{{(fi ts&{etr# {riHtE[erFrdr qt {k{l{GfrIgrfr* ntH-q<nc (!)o)o))i q<( sttmg {{r (cs)" <qq r fi s sk vrt qeQ <t6s-d e ,q+t {rorol-{ RE r{ {rFf {{I@r{ (\ol)s c (c)o! Effi ftq&rmrcncqmiiFTFcrr lctg.B,rel ('D Bftqrer EfiT Elt € 6$nr ${crm,itfql. c{fid rt{rrc ffi e-s r I 8 E I ({) strqir I;{ <,lrF qan vfm anGm fi4r1ft rcms w r I I M+R+S = M+R+S rE
lcT etE[<Elw : €IiBIT-oo I r ar ora-< 'q' q< \sr{s't I E (2 0 7)rc ,/l\ (0010 0000 0111)2 = (1007)8 :. (207)n = (1007)g + ($Efurfdi6F cfift-{ c'F ft'r* <rs<F-q +-< t lCtg.B'191 I 00 Eft{r{r r(frE[g qTF t1T&d {($t eE {drq iY{ 6{ r6F {l€{t {tr<t NAND coE sl$ <fg-{t{{ Frd (t{trg r 8 Eftqrq <6ff8 qcB 1.q qltsld r x s=x (EY(ECr =X Y ci+XYei +xYei+xYCi Co=YCi+ XCt +XY cFrr{, 8 (776)s 0- P<R,<fu{rtl'l{tf{ 06. s m I tul I
Bftllffi <6fos csF Rqt cr.lx (M Gr{ ayq 6{ <6ft8 qNert {tFr ET cr{t cls qilsl{ I S C x Y S:XY+XY = XY. XY = XY. XY C=XY=XY 07. lfr , lfr '< <tist e $[T'd rrffi {qf4r{ (10) 16, (100)8 q<( (2 F) 16, <gr I ('l) 1fr'q 165s qo q?iluT {\{iIs {,ts{ {-d r (s) Ifr'd <l<Id Ts{ 1fr{ qssas as q"t? ffi +'a r E lfr'u on-su <* (zF) 16 {t qgRpfr{s {$tlt r R$rsfiTFT @ cqtro <1ffi : 2F /\ 0010 1111 .'. (2F)r. = (00101111), <lfficqmqttq: r 101 r r11l r II57 .'. (101111)2 = (57)s ... 1fr< trr<<al (57)s. (Ans.) E q{Fr,{fr{{s{ (10)16 did<RKTs{ (1oo)s 1ft-*<r-+con.lfu<;n'no< (10)16=1x16+0x16"=16 qfr '<<r<Fas{rsq.lfr rss'[s'd: (100)8 = 1 x 82 +0 x 8' +0 x 8' = 64 .'. (100)8 = (64)ro .'. 1frq qFild <T{ 1ft-< <lrt-< = *A = 4 "q (Aor.) lsB'rel \, 8 KI IU NT \\\ qffirl-*qsrnrRerfiFt.. e
IGT CGFRISF B C F=AB+A+B Fig-l Fig-2 (fl) Y ercrftts{cfiftFdr g .r-,m arftgu qfwd c.RtG <tt*lR cqtrt amqs {tr'-frel'q't Fd r q{ttrI,y=me E+T, +t =(I+E+eXAE.e) &{fi]fri{Gflqll =6EEe +IEEC +EEee =ABe + AEe + EBe 1''la=41 = AEe(Ans.X"A+A+A=Al I r=er;m =IE. ffifuq-d'BtrffiBqflqi] : IB (A+ B) : (A + D(A+ B) = AA+A B + AB+ BB :Is+eB [r.aA=o]=eOs F q"cq+{s{ltrK oEFEcr{I * - oP 61$r x - oR oR&crqlrqr{r{qiMr{<lt-{R 6$5t:F{tq{r I 8 tr B C 1q-qr1d< qgqI qnq q+E q{-{R fl 6 qf ,ssF snR e EE cRrT ffi {C ff E ffi ffi mtrt or< mWqq s qIN qlFFl c\{Jl<I{nR 6€ o$Gt I 1q-qilsl6{tq'Fx, y € Ci GitrF (qFIF S € 51ft C. "flsn1{|.g I eFlqEtq-qitqr<El?1t x € Y c{rf CqFIT-{ s, s:FIfr C, s <{fi Cz "ft\sTf ${, {rt(ffi Q = Sr@Ci = XOY(ECi -....-........ (o) tcrQ Sr = X@Y; ())iiq$lcTl €?r( C2 = S"C1 = (XOY)C1 ... ... ... ..... (8) Tq-qxElrffi fu"F x, Y € ci c{rs csFlq{ s e tifr co {r\3$ Tl{I I TtffiQ frFtsES = X(EY(ECi = Sr(ECi = 52 ... ... ..... (a) vfifr, co = f;v6, + xYci + xYG + xYCr = ciGv + xy) + xY(G + ci) : ci(x(EY) + xY = c2 + c1 ... ... ..... (s) (8) R\5rt{tctl ci x Y I N lsB'l el
lCTgSmSr :UFBE8-o9 09. 161ft66ft6slq{rttq&qqfiqr:rtr dmEf(6pGilE[clp&Epitn",u6q (3zs)rotg-lfr.[r RlT{@-{ 6{q {fldBrs vfr dFr+ fiqRft} c$rf 'tcFrs Etsq +m crftrnr qdBd iE qErfi 6{Fr rfir (tzc)re E E 10. qFIF 6'tir FtT''$ Erd CF q*Tm {qftErEtrqt$tQ T{rrtrrFinen r ('t) FtTrrr qcFfio c\{lt rctrcg r6ffi 6{tlrclEE fitcar T-d r 00 cSttrd {Frn 6dFT iTrlr{T 'll{rFr fr{TaF fti6q1 qqq, {qm[{ Tir I Ftqm< qqtrE {$rt fiB qrr qaBq {qG, 81375 trffi "'(375)16=(s67)s 0-5 r T( Erf{ .q, qT \nTm,t I (rD Efr'tr{d qBbltt r- q* cf{cEr<FrRft[s fi'{t€ r 19 yftpf r+e r{{m .l' GRs otQES fir{ <ffiEH rrq{? Rds.t T{ r IBB'lel I 8 IBB'191 I 8 E F = p + -a. (R + F) = F.o{p + R) = F (O + 1-r * n;; = r(o* (F E)) = (o+ etr) = Fq+FpE = Fq+ 0 = FQ igFPqRfr: P a R F=PO 0 0 0 0 0 0 I 0 0 1 0 I 0 1 I I 1 0 0 0 I 0 I 0 I I 0 0 I I 1 0 (tCFqMP=PQ qRtd, A cqRb qrqt NoR 0t$ | ;r'=Fe=pq=paQ=paQ PQ E i+*' I E \\\ {ffi-{dq"r'rEe,fiFfi... e
E E IGTET*FIIIF 11. 1F c +fr &}i'tftrtr qt6 ffFffi-d{qlq'rc (btoL € (bqo)" r\sEEitFF{ cdFt\rtlq;m (ecl € (3A),. I trD Eft,f[T EfrRE 6dr{ {ffi E/Ere eEfrE,T$rts fr"tl-slt € I 1n1 1fr s +F-* ats fi r ESr {f+i ctrtd {l'{rrl ffi +<t qu:{ ft {? Rrs+t F-d I 1fr<c-rFlffi< (37)8 @ e"||H, (37)s 011111 ... {(fib cvFrnFI qqrBt = (2o + 2r + 22 + 23 + 2a) = (31)ro +ft< 6qf{{fd 134L. /\ 00111010 ... csfr{F qqrBt = (21 +23 + 24 + 2s) : (58)10 sl'Cr< C{Fr (31)ro e (58)ro I 4\ Ertr{ ',{', q< \5r{Fei I =D- rfF ?='^F3. Fq-r Fq-c 6q-,e ('t) fr-q-) e Fq-\ qr TlccrtsR" 6{t['fd <63F qfit +a r 1r1 Fo-r e fro-l o<c{frErffsmG-E-\, <ls{t${cEqNwsr\5tqsqt€ I E 1^E-) s GE-t q< c:Frm't$s qT qT qiMr {l @61r'R Tffi Rr{C< srq sT d I c{ qfi'uld 1F ffi cltl srd c{FlTdl € qks elllGl {$-it (I F]lR 6ffi {rcs eilGr Elr$ ql{F qflsR {rq I e$E x-oR q<( q+fr elu PF ERr qq-crlsk ?sR qdt {F I Fq-: qq x-on q<i Fq-q EE AND m I '4rqr ilq{cqER'-qisrdFFmq: Iil, --i}s=x(EY xilt-s l$)- c:xv v-l_Fc Ee-sflffi e-+G-q E C-q-)etq<ct$c{tsftErq6-wts6qF11-d(FSq-\trilsk11T{-dq6fiq-e<tTsqtpf{ ?'sfrq*qmr crs-ql-sIGK {Isl6T. {rq-W1str<!T <lqlEFI: frtt qtp-q1v1g Effl qo$ Te-qsnr< $Fl qdl:rgr I gq ifisl61 t{es X, Y € Ci BI6s 61FFI'E S e s-flfr Co 'fisTt{|<trq|t-\irl|sl-ct<cRnT,{TFY{-q,Isl<?ofr<wiqtAre-wnvf< e q+Eq<cuF EcsM-{r dql{{|ipq1f-q1.ffitqlpx€yel6sfiFtiFE 51 s+IRC1 'lliglt:i6trft6rq|q-qtg1r{dt+$SteC1 (aI[<FGIltliFFI srs oiffr c, ,fl.ert sl.t r e sz t qrct Tr{ q.,Isr6{d ffiFj-{FdI s I x--[--l- s Y--.1 F/A I ci -]-F co Fs:TEqlMr<-dqRr$GsFq' q<k Fflfr c1 s c, m,mF v< dEEr< {Mr{ {s r1-< {E wlqr<-< s]lR co fllsxf {lT I uB'rel 8 uB'lel I 8 I m \\\ lul iffi{d dg-trrFfr'tau"tr...
IGTEGKNSF x Y Ci co S firuqrofreEqsrftrfiru.< $rE sGi-s c'Rrtr $qlfi EF qI+ w,Iurm{ {RIcv Te qitslcm <rs<rl;H cq!firql Er{t r Fq: ql{F-qnvl6{{ fiql[{l {E-!flI-slGlr <lwI{I{ qslcr Etr Els \trlsld {FrqF <rK fq qrfsBt bsR o* sF r Ci x Y 13. .+' orqrq-dqqfrFfiT-s trtd (63)10, (63)s qr( (63.8)16 R$fElFTtft+rq-{ e<!,frqs c qfric(mlo mFt {rd fiaEar{ I qvs'rd <EndFt, .qsPfEErtr{ qErsl3 {Ts rflffF€ Flq' qr qrF crE q?ltr{.tffid rF6fi" t lcB'r9l 1ty Effrm< ftQr € yq-{ c'({,I Etrd 6Flqq qEfifrro qTH q{ I (q) Eft"Ilc' <Ffu q''Itm.nm {KI[{ qq{ E p6r nr"tit (63.8)16 = (1100011.1)2 ... GtrI{{'ET, 110011.00 1100011.1 (10010110.1)2 E Eftrre<fuqen(<F.FrEt2,4(ifrti-sr effirE{fr, (+63)10 + (-63)s (+63)10q<eEE{Fr 00111111 r e<qR1a-+ 2 ,s<1Rtm (-6)8 q( erfs cF 10110011 r e<qR p+ 2 !{< {RT{s q(TGI (+63)10 + (-63)10 00111111 + 1 1001 10'l Carry bitr(1)00001100 .1 EeI{€frfr{T({firoflf$i' (1100), <t, (12)10 (6 3)a 110 011 (63.8)16 1.10 0011.1000 I fifriqq$Rtt{{iffi q-qlng<-ft6Aq{Frd cq{t\31 8 @ frftscr"Bf (63)u = (110011), 00111111 00111111 11001100 11001101 E IMryb8
rcTer$ilIrqp Fo-r Fq-: ('t) Y ,4<qh c.o-rsckftF cq'etNe I 8 tr E $ S-q-q EIit EGfiFEsrft 6iqt fiim G-q-) q< qrYqi qffi <lv<tfl q<t qs< ft +z frcl<q r< r l0 {( srffi 'rt' q< q{fi't I frE{qz€NeNncate : Y=A.B=AB NAND Gate EEtl il-€<tl$t: x = (36.75)10 Y = (5e. F) TR-{.,f-rt (t IrrrF-d'i_T,4( fE (srtl lq = rsol,o I !:lrT"'l-{ x s v ed{Ilrs<RSlRrsmf'lq{r 15. IDin.B'19] IDin.B'l9l 8 tr E 16. m Enq5{-q * EAR$ P s Q qr {r$ <Ft{Ft \ qR "lRTffi 'rhG <rqt{ s,r1 ffi qd r 13 q {rtrr '{', q3 q{sel r I {( Em-?t 'rq'; q3q$et r (fl {sFq-FfrRso,mqsrc{kfrsq&-s<6frqs-{T-{1 e 1q) +FrWn-<< mrml st{trs {lXc< GF{5FB sFfl-rr frilsRE Grc H-s GrE( @Ffr{ Pfr'sr wkq|fi frcF t qll 8 rM lcB'1el roFq-+ roF{-"1
E a-oFE-+qeq{rsl'sRrqFqqpse ro 3 q{riFlsl<r q-aB1q qrcsMrda erF a 6am e ,eil-otv'tc< a Fh$ cqro 3 trqBtseEn "rl'€${l{rvfqrq q{{Rnqi qife xc?fl'[T <lffi cr"Bm a{ERE T.dt {l{ I qqqi,{rs EA|E cctr$ <iffi q{ri{-sk <Fr I Oo --+ Or ---> Oz ----> O: --) oq ---+ Os -J Oo Oz -)-) srsFlp Ers<qX=Oa*Os+06+07 Y=OzaO:+06+07 Z=Ot*03+Os+07 x Y Z oo S +FrEftr<< mf$rrT sFrlrs {E({d cF iTi \r-FIlaT fr'flsRE T-{r., Eff"rrs ss G-<-rt e< pfi-o vqffi r ro frq-+ qq frTorw{ r {l<r qRl-(si 2" c(?r{ \5rtBit c'l(o n nr{Jo tl{&< EGrIq-{ q{ r 6rr qq-s' qit q 2 to 4 de co der | &r$fuk <KqT srd <lt{R {(in fr-rsIs n-$ q* I z to 4&rsEETlfrlqT{Elt{ 6qlro eFqBt"FElt{r R 6sFr qsEF 1 'fisafrrlsrqtBtt eEr{d qsB[g 1 € <lfrq+sE1c 0 qtE?'F "lls{r<r{' s6q 6sFqrBtt4qr{ 1Er{Erfi-6{Fmt{temr{r+*B,r*r q{I6{ qTF 2 to 4firmFEfrr-+fqrd{5rr-rsqkft s {fi-s-d.t filtmqmlr - A 2.to-4lina s ngl. btd.<od!rTruth Table Minterm Equations D. = At. fo Dr = Ir. Ao Dz = Ar. fo Ds = Ar. Ao q{t EIEEF oo o1 o2 o3 o, os o6 o7 x Y z I 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 1 0 0 I 0 0 0 0 0 0 1 0 0 0 0 1 0 0 0 0 0 0 0 0 0 ,| 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 l0 0 0 I t0 0 l 0 l0 I I 1ll 0 rE
lCTegt<I$F : oIrfIIE-oo ('0 bftq,coEfrREqQfrGK,$qtrEqfrrr qffi qtr F) c{rrtd {t'{rm Brd s lfr-< qRftEls I 4i ECI-{ 'rt' qK q{Set I I 4( qr$( '{' q< \5r{s'l I (rD Y- qr {l+ csm cldftN cn".Irs r F) X-,qr crsTE qF NOn cittt-d {-qfRl <rsqtq;t F3t I E y =P.P-.Q+Q.P = Fq+Qr = reQ .'. qF x-oR Gate e< {slo TFft fiT{"i: P o Output y 0 0 0 0 I 0 ,| 0 S x = p+ p + Q+ Q.R = P + Q+ Q.R = P+ Q+ Q+ R fts{<'tFl = -P + -a + E = p. q. p 1fr Taeffq1 NOR gate ftm {l$Il{tr{d ffirq n.q.n = F +Q +E = P + P + a + a+ n+ n e"FFqBfrocne*qrqt: P o R s<rf {€ir? ffiB-+otrq fod{.t Tr r lAll Board' 20181 I IAU Board' 20181 17. <Id e lfr qEfiE'tftslir (110010)2 €F {[{i (62)e q1( (2F)16 {Tf c'frnrq I $s{rrfd"fl{sr.ffi tr @ tr 18. 19. ElifrEFts-r qFm{ aftrecc{rt'{sG qvtRr{{ r ftE qsq-{qrdrd qrl{RTfiErd Frd["tfrfr fi'irs crs\,R 6dtq {rd &EFTt qdrdH 1 qo Ew ft-t (31)ro r q;rol{ Ftm Efrm qs alPra mt"r &E1'l't crm Eq< frq (15)10 t \'lFrFFF.FEttrF l?nfi, rclnqqmqtrqtffvt-<TEc.t 1F(t'i Talqrmq I IDB'171 $ Eft"n<rd ElrE-d Et G{ft'd 6{ltr{ ffsi eflEI Rtcrt{ {t$fi cfit rGt TFEIFFTaK qffi Fira-+ +q r e rM 8
E r{R.Ersr'\'qrq1s'lr 20. cmt e ffst &ttr qqt{q ftR EImtE-{I q<Ee r 6fqt Tffi, ffi egftqF 191-F (4c) re etaQ I fu <e6T ffi rcT-@ (103)s {rd c,mRr cq 6{frro'tgrtvnmvrt1rnflqt 6s cFtqTd cmel [Cts.B'171 (q) b ffi 6G[,trd arqqrd rrd '\-qr qfrtd{ qqfrle Sftqrq.d 6f,{ e frs'F q$ {?1T{ 'ft{Tr fr4T <:r | 8 1 4( qrs<t '{' q6 q{frel r cQ: {sklsc{t{ e Emv-*qselTffi qf e i{'{tE-s-{ FE->: E a 01. ciQrB*cHr{riflffiE <[gitlaFtTltt 8 E @ E \\\ (ot) 6-q-r qrflffi<Frrffi cnltf€ I (s) tr{-r qrqfEb'Ffids"tT6 cfrFr{ cg,FFcm: X=Dz*D: Y=Dr*D: Do DlD2 D3 S = A BCr + ABCi +AB Ci +ABCI Co= A- B Ci +.A B Ci + ABq + ABCi cfrft'<e ottt* q|dai crs?rfrFr; Do D, Dz De x Y 0 0 0 0 0 0 0 0 0 0 0 I 0 0 0 0 0 I qvrsqrft' A B Ci S C" 0 0 0 0 0 0 0 0 0 1 0 0 0 1 0 I I 0 0 0 I 0 0 I 1 1 0 0 1 I 1 1 IMil bb qffi-€qErm&w"Ftu-+... e
IGTeEFSIS : qr8lT-oo F=AB+AB E ('t) Uft'trTrfirrriB{qrqrsqvm{ffi?sfrs?r e m Efr,tc+?Tlrtfift qxam ot&<{r<Irsi<lqfimsirtrftr<? csNr{E'srd{'nt1fu Et\s r 8 r9_ITclTfte A B A B AB AB F=AB+AB 0 0 1 I 0 0 1 I 0 0 0 0 I 0 0 I 0 0 0 1 I 0 0 I 0 1 n=5E.tas) ... Bfttro-< Ttq.EF tsI NAND cutt6-a qlq[r<i <rq<Erq rg.{ r ('i) Q q< qFr6{ NOR calQ&< qt{rm <lS?rr${ <t-d I e tqt Eft"irre s-+w eesctffiF{lsr q$JT ('RtERr <E<tnq as<- ftliq"Ifu Efut{wi$ qffi m r 8 \\\ 03. I M NT emffiasqsrnftsaqqud... (I
E E : @ a= Ls= Ae=a+B r \-1'-:rc NoR oiEiF <fs?fl's{ B i'-----i_p-Bp = GD GA) = (^E)(^-r) = GIE@ D = AB + AA + SB + A B = AB + A B = A O B = A (E B ... p 6E Xgp ffi frm<l-€?rEr{ Firt:rm I " <r<qs e&-s cImE Tiisr {$r,-s ( I E xon) crtE! E'ffl eFFI.t T-fl {s{ r a ca fi -fsB{ efil[6pl: el6l'ts Ewv<qssq4s ES 01. qft-q .{<( ctfud <tsEffi-.i frrr+B mq< Eqq c{FTlslv trqrs furei Erfln fr'rm ,qsftrffi T,to {elrq[{ (1 010 10 1), q<( (3 7) 8 Tl{ +r{(q r qrdfrr{ fi.Hfr (3 5) 16 <Ft Fr{(q I (rt) Efr"lcT{tft<qtkrrd<Ic.rdcur-Tsu<F{mFITrrcQE[e.q<"ifrTi-sffiToffiq<r e $ Eft"RTtlfr<,{fudq<(fi.Hfud<tnlr{c{r6$Fr$rr{-?rq-f6frryff{qfrrt{"rcdr 8 Input Ouput A B x Y 0 0 0 0 0 7 1 0 \ 0 1 0 7 7 0 1 Eft"ro-rr ('D BftelT-)E6sEtsstBB"$eotrIloc'Ffr'cq<fq<fs{T<r e 1l; Bft'rs- ) e Eft"r+-t qp gt$ q&-o c'F frcr Eft"ro-e qcs ots qBtt cft-$<"i <t6{H{ mFr ft-+I Er frrfs.t +.n r 8 03. E?Nfrr$ftRq${Tccs\3<6TqQfrEsMwE-ElAm-{Tt(smtE"rpFBrctftFtqoiq4< eq{qn<rE[ffi{ qs{ 6t6fr-{(g<{6EvBrtFr{6r (25)B \s (10100), rFfq-oe vsilF.crrEffi{, qErkrrffi oqnmltqr-+< T{rqr crFFFffid 1e;r. <q< c<ft r (fl Eft{ro<q"fr€q{cctl(T{ffi{6{t'fsFrq'tfi-o1n,&6sfr4Ts<r e (s) 'FI{fd <Ffiir ffi{ (62)s <q< ECFT NI{F <mm ocr Eft"ico-< FtF' <l-cq lg,' Bfutr{ 4ffi1 6r11s 1 8 A 04. B (rD Eft,tte{ <6fttrd qfts-dci s r\r-ra {kft fr{ r $ Bft'rr+< <6firg q q5a6 e1ffii vFrcn qtEt"F x = A + AB- 't[e$ <Ir{? <6ft8 <rs?rrs{ {-{ r 05. qfi-d:<tffi"lhfr-65ftn mrqciofi ffi{t{ttrt? RrH- (DC.5F)16 ciFqlt{frco F"lt{l[:r? fre: q{.ttt r sFt6R qfiET{T Trffi qhe <F-qE q{ r ('i) ffirs'd EfiRs c($'F <t?ilkco fr"trsd <'{ r (s) fiB< etqs EfuD frcf<q q< r x 8 \9 8 \\\ Bff"ro-r IEm qffi+lqqmFs'rqm... e
07. lcTaparyq >{)- FEqc-ol Fqls-oq 1't1 lar Glq-< o Qrat< qqr $5I-s {nft qt{t I $ li( 6@-d {lqlr{i qls qrER <rsrls{ <td r Tllt frcr<frqEET<:T q<q ri s {{(EernEs<qtec ('t) Eft"tcs{ E&-$ clfr6< qtut F {ft$fi qsft$-qq p1 I F; ffi"froa p q1{Ft NAND oitrEd {l{I[:r irl€?rll;r rrn NeNo coltct-< e*gBm{ocr 09. Bft"r+F qsq<(fuT-d Egerel<Bs{qfsc8 8 - J/ .-------- {8 "'Tfr T____________ r- ('t) T6rcp€eq<T{l<ffqR1E5qaffifu{or<?<ltrm<;dr e $ c1A<6n<F(qqBeF<tqdfr{rdfr{c"tQrB<qrsmlo-dtrc{ftzE&-sctElq\Frlir$<rc{irrtllt 08. q{S qls6'I6 P a R 0 0 1 0 1 0 I 0 qgFlt 8{S qEB'F P a R 0 0 1 0 1 0 0 0 I 1 1 csrs qvrc{.Fft-> saND ei?!r+ efrfiRy<'c{--€FrFtc<r e asp qffi-q q1at qfrfiffi crt?t ft $o=r+ xt<ft- r Elrt eeFffi clat <rs<ra-q c<t :rs<r frrrs"i srit cq$\e I 10. q1q{q ffi E|r {Tk Ttrq (E)16, (7)8 {q?BI Etd 6F|{F-4 qlTro EitE r qlqt qtq;rFr q|ftrs RFrqq cq-{rEt q<( <ErFrt sFEtfcK q\,-rsrd {:fs 'tlfifu-$ T{$rs 6{{{--{qFt, frcrtt, E"f, stut {s qrB $E qqtr<{r{-:t TF[,G, EtqM 6{l'rkcrym eo {{fld{Im\e rFrqEqrt (rt) :n:fiss"nm.tfldQftofrcrrs{EFcF{rsTBft"imd*ttqtfrcrt'to<r e 6 mm<-+atffiftrsB@csqirE&dmrc'r<Eftxtcq{Bl 8 (uf) ({) M P qr I )o) \\\ qffi-+*eE.rffE^€r'FtEqt.. e
ll. 12. erqrsfisr&(t-<Eqfs-{frr{ql6qffie<Eqr rsst{"rE, ffi1ftqa161-p (4c)16 c"lrfl&rfi-q<q-{ffi rcr-cs (103)8 {rFrc"traEr cq clftF rY$EEq<s1t1llkff{t @6ftffi{cffi(qr (rD Eft"r(-${6fqtefiqnqfrfrrE+o{lKc{cr(e-frrgqctF-{r e qEfrnfut{{Rq(<<T"sF{frfr"fl"1sT<}rqt<fi{r<Hcgq{rsli\ol|-ns6{ cEFFErq+ {Eq-f,fi {f{EFq{r EETq-{qmq6{tc5<{[{rc 6sl'HlqsFq"lrirFTq<qT{r{{mrrfr qFltE q+-flcqq{<t\5rF-fi<T, Er{ c.lTE {t r ftg fr-ql ri-{qBr ffirq eFFr r-{qlir ftqfts <r<qt fus q{ r ('t) Ufr41T{ qE{ q-<qtft m E&-s c1ib ffit rer-< W< q-src nlrft fr4T +.{ | e $ 8fr1rc(frerq-{qkcrer+{r<q-d{Fqlcqlcr,lslfu'fst+nr 8 qtffi Fia'-r Ftm <-arqq, +FiEtF a-6s wHfr T+Rs {lcr sI, {{( qrs ,{sF q&-s flftrtrd {IqlI{T b'-frtt-d frc'It {(roco m"rlsd fi{ {cll ?[6$ r &fr qlart Tffi{, E@ {srsslrn ffifus <qql FPIffiI{rs, (313fl({t Tm {l I qsiii &N qsfi q(r$EEFr qq&-d e({M-{ q{ r ('D Eftflr+Eaftgq&o{ffi8<fus<r e F) Ufr"tcs-dcqrc'c-ts{qaGsm<xclT6{tFGqfrvtq-;m---NFt<ridrclfut<Baq"rqr<t 8 Bft"r+qtrytr<yq<c{ftfscFrfr4{qnr e Eft"rrqsz rg : qrGRE otiFcr.rd "r-trqka {ffirq 6{q&-sqlffiql€rr${Et<tffiGlrtld <\ifoE {r{ql-{E i-c{fft-{flt{ns{r 8 qF$qrq{qT*lr{omFIFtEfflrqt{mr6sltF<I{qld+r-qqrStetq{Esqqlgffiasl86q.sF<rE-{r erq r'r'Efr <s <6{ eFr I rFltffid qrB 1tr c+m eno wcqs TrRF <n qm qte*s ffi F$ s-{cm eG A-qr{ {gt? (ll1 Eftqm{{ffiEq($lsr<erl"r<sq€Tfdslirt<1'$tqdr e $Eft"ttrc{ntRtFft1ffi+<ree+E1to<tr<tn\sei-rBfficm+z<rl"l 4<r 8 qffr6{,{ TFil rcr ftqrr< Ftm r Gfr qtfrrq< otcq ICT R'{cl-?r Ets +-{lrE{ qFlcs utQrq cq <-q-{ qr(-<ffr-s {fu (112)8 e<(<lfr-S qftq'F (7r')16 {fir C'I6{(ql (et) q1Frc:srs(-<rffi'rqftskEtg{T{r$qgEsfrcqq{$BHs.'frstF;tr e ({) Efr"rlT <frE qFrs< <tft-o qftrm $g Tfir (80)10 c{rs ss s:r <l 6<fi? Eerr-< ryirm {fu qlv r 8 tj . {1}s, FtsT ,{<(Enr B+ qr+< vqr e cl'1t{FiT EIfuF $s {*r {eIGr'{ (1001000)r, (531)s €(( (4,4)re (t Bfr"tm( E{s qd $s ftir q{frs 'ihBcs setl-s<r +;r r $ Bft"im Ftpt< EId ftr qF (1 1000 1 1)z rT(?trB sE eFt < cr ot fi44 o< r Fq-r fiq-l frq-rc ({) G-q-) q<( Fq-q 6s ft q{rffi ciB qqt q$ <]FBI s'{ r (s) a{ FE-r qd oRt sFI Fq-\e qd alEF <ls<tfi {q< ft ? FEl{ B"sLTd qofcT Ifu E'1'€ r 13. 14. 15. 16. ('f) (s) 8 8 I- \\\ nffi€qvrmFsrnqffi... e
tcT ef*FrIrqo ls. qo)v{tFTEFB<rnrftca<+r<ctreurftcq-d<TI"lfTG<mrergn-ovtft<(8r),"et-dqft-dqE,qtfrrffi (\ae.g' a}lqfi-{qR{r, qftq (Es.l.)* cq?<qfr<Erq6tq<(qfiffid ())o)r 6q?-dqfr{ml}cclrqr ('t) Eft "rrq <r<qg qIft .{ qfr crrs qfr rq{ qfi -< vc-e T(3{ ffi {r"i q e< {Rt(rs frc$t s-d r m Eft"ftsqtfi-{ € Etfrr<Kcc{ipFrqrcrET fift sB q[{(q q<(TE?-ft(s{.t"I(<Frs,F\5 rI\3 I firr<Eft"r+Eet,r<;-dr AB ('0 Bft"rrs c qr cr+TE qH fr4TFd I 1t;'Eft"tco o<qv lai ffi E'kf dfrs FEFsrfl <E<Ir-{ rrsr' -{rFt T-:r r fr661ffiaffiqsrcd1 ABC 6 'r-C< arfi-gu fi{ NOR gate sl{t <fs<rlT{ s-dl {sir" Fq'{q <l1rEf T< | F=AB+ BC (4) Efrlm{ {trFfi{ qrflro wsl-r xlKft ?.r-R +< r m E;ff"tco< oq.FrB ft e1 NeNo cat&< crqt6$ <ts<ls{ T-{t {sq? Rds"t s-d r 23. X=AB+BC,Y= AB.C+arC+ae+ BC (rt) x -6 Q{NOR Cur&< qffir{ <rq{ls{ Frd fr"lts I I $ 'v" -m lG-sn qilerq=Kk {f{rlT +sfto<.t F<k srE <\i+ <lc<l{r {{w <rre"- fir:F.ttfu EfuEr tslslt <t{ r ErrcF - \ ({) y-c<wfi-goqFfi{t+<r 8 (s) {,[satq q< qvrs cr<ft cetrs EIs E&o ca!!F< ct(qt y-q< T{ftTe ltrl< yE-{t'T{-s frHs"t T< r 8 20. 21. 8 8 8 24. tc LIJ] ("t) Bftrro< n -qF Tl;r q<ET T<r I P a R o 0 0 0 I 1 1 0 1 1 I 0 I \\\ qffi+*qqrrFcroFtuert.. (I
ICT EEFIIISP EA"I($< q&-s {fffiB qsrFd,{<( frcD-{ er,se({r{ E-s{ qI\B r ('t) Q q<ffiro uon citet< qlql'm <Is?tlT{ sit I (s) Eft"tr$ <r+qe e&-s {ffitrtrlTs{ {(?B-s c'iEF EFt <ts+${ rc(-firf{qTds EfuB{ qsrot sffi q r F= A B+ BC ('t) Eft"i(s< FtrFE< e&-rft-q qt$,{<(<Il{l q{ I 6 Bft'n-+< erqnB ft e1 NaNo c"tQct-< fislnl <lwEH F-d rrs{? frrcn t Fr r ICTfr{Gir\T{rt'FrFlr.t{(fi qqG qvl&TffirE?FTQxtFTroEF ICTfr{G-{q({frs e <tfiniftmr<qls {rdqFrsEIQr{ fr<e-{, s({frm (:Ds q<(<ffrsqfus (3F)16Ras6c16*Iq{tFriEIETt qnq{{4l[eql c"lr{ {rRrs &(E{ F{r{ {rk frstfiE ERtrs {{m{ r ('t) Eft1m<fut{<Iffi{q(<tft-+qft$TqIsar-<roqgftsfirtqc({rt{6"ll-q{F< r e m Eftqro <fu irrRq{<ft-o qfrtl< qts ffi-d (72)10 E(9FE T:r <l mfrz om< E-sr-<< a4q1fu nlre r 8 x-+ Fqerqt qr] F-d er( frrrd qcR Eq< qts I ! E s-sFq-! a-oFq-t ("i) s$ Fq- ) dfr"r Fill EIil {G 3ff qi64 666 qrryE {<fr <nrtn +< r (s) s$Fq-l ERI T$ FE-i. q< E&-s {ffi <rs{nq s{t ${ fu? frc|lct sr< {.,-t{s Rts I 29. firr<8ft"r+EerIp, < E{emtBe-<qts r A-{-\I l-v B-1---) A B Fs-: (ut) frq-r,{< rr'c-ro cRfr ?"-R F{ r fg <ffi mrrr <\6fr ?ERre fi-ffcr yfr+f fre$q"t q< r 8 8 8 27. 28. B+ IEil