Page 85 - Electrician - TT (Volume 2)

ELECTRICIAN - CITS

Decimal Binary

0 0000
1 0001
2 0010

3 0011
4 0100
5 0101
6 0110
7 0111

8 1000
9 1001
10 1010
11 1011
12 1100

13 1101
14 1110
15 1111

Addition of binary numbers
Sum Carry
0 + 0 = 0 0
1 + 0 = 1 0
0 + 1 = 1 0

1 + 1 = 0 1 (one plus one is equal to zero with carry one)
Ex: 1 Ex: 2
1 0 1 + 1 + 1 = 1

+ 1 1 + 1 (One plus one plus one is equal to one with carry one)
10
+ 1
1 0 1 11
Hexadecimal number system: In hexadecimal system there are 16 characters. They are 0,1,2,3,4,5,6,7,8,9,
A,B,C,D,E,F where A=10, B=11, C=12, D=13, E=14, F=15 in decimal. In this system, the base is 16. This system
is mainly used to develop programmes for computers.
For Example
[23] = [35] ; 16 X 2 + 16° X 3 = 32 + 3 = 35;
1
16
10
[2C] = [44] ;16 x 2 + 16° x 12 = 32 + 12 = 44;
1
16
10
Decimal to hexadecimal conversions
The conversion of decimal to hexadecimal is similar to binary conversion. Only difference is that divide the decimal
number successively by 16, and note down the remainder.

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CITS : Power - Electrician & Wireman - Lesson 60-69