Page 1069 - Basic Electrical Engineering

Third column, 1 + 0 = 1, 1 + 1 = 10, place 0 and carry 1
Fourth column, 1 + 0 = 1, place 1 and carry 0
Fifth column, 1 + 0 = 1, place 1

16.2.6 Binary Subtraction

The following rules are used for binary subtraction

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

Examples

i. Subtract

ii. Subtract

In the second example, the first column is 10 – 1 = 1 (after borrowing 1 from
the second column). The borrow is carried and added to the lower number of

second column to get 1 + 1 = 10. Therefore, the second column gives 1 – 0 =
1 and the third column gives 1 – 1 = 0.

16.2.7 Binary Multiplication

Binary multiplication is carried out using the following rules.

i. 0 × 0 = 0
ii. 1 × 0 = 0
iii. 0 × 1 = 0
iv. 1 × 1 = 1