Decimal to Others Decimal Binary (2) Octal (8) Hexadecimal(16
0
Wednesday, May 12, 2021 1 0 00 BINARY
7:19 AM 2
3 1 11 2 17 REM
17 (Dec) 4 281
5 10 2 2 240
------divide------------ 6 220
…..(Binary) 2 7 11 3 3 210 HOMEWORK
…..(Octal) 8 8
…..(Hexadec) 16 9 100 4 4 01 Convert :
10 a. (52)10 = ()2
11 101 5 5 1710=100012 b. (64)10 = ()8
12 c. (123)10 = ()16
13 110 6 6 OCTAL d. (71)10 = ()2
14 e. (452)10 = ()8
15 111 7 7 8 17 REM f. (94)10 = ()16
16 821 g. (74)10 = ()2
17 1000 10 8 h. (471)10 = ()8
18 02 i. (1615)10 = ()16
19 1001 11 9
20 1710=218
1010 12 A
1011 13 B
HEXADECIMAL 1100 14 C
1101 15 D
16 17 REM 1110 16 E
16 1 1 1111 17 F
01 10000 20 10
10001 21 11
1710= 1116 10010 22 12
10011 23 12
10100 24 14
15
16
17
18
19
1A
1B
1C
1D
1E
1F
20
Number System Page 1
Universal Idea based on Base-10
Wednesday, May 12, 2021
7:26 AM
Decimal To Others(x) ---> Divide ()10 to ()x -----> Divide
Others(x) to Decimal ----> Multiply ()10 to ()x -----> Divide
Others(x) to Decimal ----> Multiply
Number System Page 2
Binary To Decimal 25 REM
22 1
Wednesday, May 12, 2021 0
7:26 AM 1
(101)2 10610 = ( 101)2
=1X22+ 0X21+ 1X20
=1x4 + 0x2 + 1x1
=4+0+1
=510
Number System Page 3
Octal To Decimal 8 106 REM
8 13 2
Wednesday, May 12, 2021 5
7:26 AM 1
(152)8
=1X82 + 5 x 81 + 2x80
=64 + 40 + 2
=10610
10610 = ( 152)8
Number System Page 4
Hexadecimal To Decimal 16 190 REM
16 11 14(E)
Wednesday, May 12, 2021 11 (A)
7:26 AM 0
(132)8
=1X162 + 3 x 161 + 2x160
=256+ 48 + 2
=30610
19010 = ( AE)16
Number System Page 5
Converting ()x into ()y
Wednesday, May 12, 2021
7:26 AM
()x to ()10 -----> Multiply by x
()10 to ()y -----> Divide by y
Number System Page 6
Wednesday, May 12, 2021
7:26 AM
Number System Page 7
Wednesday, May 12, 2021
7:26 AM
Number System Page 8
Wednesday, May 12, 2021
7:26 AM
Number System Page 9
Wednesday, May 12, 2021
7:26 AM
1478
=1 4 7
=___ ___ ___
= 001 100 111
= 001100111
= 0000 0110 0111
= 06716
Number System Page 10