Explanation:

Let’s break it down:

- First, let’s convert both binary numbers to decimal:

- (1110011)₂ = 1×64 + 1×32 + 1×16 + 0×8 + 0×4 + 1×2 + 1×1

= 64 + 32 + 16 + 0 + 0 + 2 + 1

= 115

- (10111)₂ = 1×16 + 0×8 + 1×4 + 1×2 + 1×1

= 16 + 0 + 4 + 2 + 1

= 23

- Add them in decimal:

- 115 + 23 = 138

- Convert 138 back to binary:

- 138 ÷ 2 = 69 remainder 0

- 69 ÷ 2 = 34 remainder 1

- 34 ÷ 2 = 17 remainder 0

- 17 ÷ 2 = 8 remainder 1

- 8 ÷ 2 = 4 remainder 0

- 4 ÷ 2 = 2 remainder 0

- 2 ÷ 2 = 1 remainder 0

- 1 ÷ 2 = 0 remainder 1

- So, reading remainders upwards: 10001010

- (10001010)₂

- Now, none of the answer choices match (10001010)₂

- Option:1 – (101)₂ ? that’s decimal 5

- Option:2 – (1001)₂ ? decimal 9

- Option:3 – (111)₂ ? decimal 7

- Option:4 – (1011)₂ ? decimal 11

None of the options are correct, but here’s the thing: your answer is:

The sum is actually (10001010)₂ — not any of the choices.