Page 1068 - Basic Electrical Engineering

In the last step we get back 0.2 as the fractional part. To get the approximate
result we can terminate the process at this stage. Thus, the approximate
binary fraction is 0.1010011.

16.2.5 Binary Addition

The binary addition is performed by using the following rules.

i. 0 + 0 = 0
ii. 1 + 0 = 1
iii. 0 + 1 = 1
iv. 1 + 1 = 10 (∵ decimal equivalent of 10 is 2)

Examples

i. Add

ii. Add

Here the first column gives 1 + 1 = 10. We put 0 below this column and add the carry 1 to the
second column. In the second column 1 + 1 = 10. We add the carry 1 with 0 to get 1 and carry
1 to the third column. In the third column 1 + 1 = 10. We add the carry 1 to 0 to get 1 and the
carry 1 is placed in the fourth column.

iii. Add

First column 1 + 1 = 10, place 0 and carry 1

Second column, 1 + 0 = 1, 1 + 1 = 10, place 0 and carry 1