Correct Answer: Option C

Explanation

1011²₂ - 101²₂ = (1x2³ + 0x2² + 1x2¹ + 1x2⁰)² - (1x2² + 0x2¹ + 1x2²)²
(1x8 + 0x4 + 1x2 + 1x1) ² - (1x4 + 0x2 + 1x1) ²)
= (8 + 0 + 2 + 1) ² - (4 + 0 + 1) ²
= 11² - 5²
= 16 x 6 = 96
96₁₀ to base 2
2/96 = 48 R 0
2/48 = 24 R 0
2/24 = 12 R 0
2/12 = 6 R 0
2/6 = 3 R 0
2/3 = 1 R 1
2/1 = 0 R 1
1100000₂

There is an explanation video available below.

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