Correct Answer: Option D

Explanation

(101\(_2\))\(^2\) ⇒ 101\(_2\) = 1×2\(^2\) + 0 × 2\(^1\) + 1 × 2\(^0\)  = 1 × 4 + 0 + 1 (Recall x⁰ = 1) = 4 + 1 = 5

(101\(_2\))\(^2\) = (5\(_{10}\))\(^2\) = 25.

25 in base 2 = 11001

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