Binary Multiplication & Division.pptx

Binary Multiplication & Division

1. Binary Multiplication & Division Prof. Neeraj Bhargava Pooja Dixit Department of Computer Science, School of Engineering & System Sciences MDS University Ajmer, Rajasthan

2. Binary Multiplication Binary multiplication is similar to decimal multiplication. It is simpler than decimal multiplication because only 0s and 1s are involved. There are four rules of binary multiplication.

3. Binary Multiplication Example – Multiplication Example 1 : Solve 1010 × 101 Solution: 1010 × 101 1010 ×101 —————– 1010 0000 —————— 01010 ……. First Intermediate Sum 1010 ——————– 110010 Comparison with Decimal values: 1010 2  = 10 10 1010 2  = 5 10 10 x 5 = 50 10 (110010) 2  = 50 10

4. Binary Multiplication Example 2

5. Binary Multiplication Question:  1011.01 × 110.1 Solution:

6. Binary Division Binary division is similar to decimal division. It is called as the long division procedure. Example − Division

7. Binary Division Example 2: 01111100 ÷ 0010

8. Practice Questions The binary answers are listed below. 1000 2  / 10 2   =  100 2 1111 2  / 11 2   =  101 2 1100 2  / 10 2   =  110 2 1001 2  / 11 2   =  11 2 111 2  / 10 2   =  11.1 2 1100 2  / 100 2   =  11 2