Question

Find the sum of binary number 1010 and 0011
1. 1021
2. 1101
3. 1011
4. 1111

Answer 1

Correct Answer - Option 2 : 1101

Given:

two numbers 1010 and 0011 expressed in binary format

Calculation:

Method 1: 

1 + 0 = 1

1 + 1 = 0 (carry = 1)

0 + 0 = 0

(1010)₂ + (0011)₂ = (1101)₂

Method 2:

⇒ (1010)2 = 23 × 1 + 22 × 0 + 21 × 1 + 20 × 0 = (10)10

⇒ (0011)2 = 23 × 0 + 22 × 0 + 21 × 1 + 20 × 1 = (3)10

⇒ sum of two number = (10)10 + (3)10 = (13)10

∴ (13)10 = 2³ × 1 + 2² × 1 + 2¹ × 0 + 20 × 1 = (1101)2