Question

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→ What are the various rules of Binary Addition ??
→ Give an example of binary multiplication.

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Answer 1

1️️️

There are 4 basic rules of binary addition which are given below:

0 + 0 = 0

0 + 1 = 1

1 + 1 = 10 (result- 0, carry - 1)

1 + 1 + 1 = 11 (result- 1, carry - 1)

2️️️

Binary Multiplication Examples

GIven, multiplicand = 1102 110 2 , multiplier = 112 11 2 . We multiply the two numbers as shown below. Therefore, the product of (110)2 110 ) 2 and (11)2 11 ) 2 is (10010)2 10010 ) 2 .

Answer 2

Answer: 1

Binary addition is much easier than the decimal addition when you remember the following tricks or rules. Using these rules, any binary number can be easily added. The four rules of binary addition are:

1. 0 + 0 = 0
2. 0 + 1 = 1
3. 1 + 0 = 1
4. 1 + 1 =10

Answer: 2

Example: Solve 1010 × 101

Solution:

1010 × 101

1010

(×) 101

—————–

1010

0000

——————

01010 ……. First Intermediate Sum

1010

——————–

110010

Comparison with Decimal values:

$1010_2 = 10_{10 }\\ 1010_2 = 5_{10} \\ 10 \times 5 = 50_{10 }\\ (110010)_2 = 50_{10}$

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