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Unit 2 · Computer System Architecture Paper 2 CS · June 2023

What is the 4+4-bit binary fixed-point (two's complement) equivalent of −(3.72)₁₀?

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Correct answer: C. 1100.0100

Explanation

3.72 with 4 fraction bits: 0.72 × 16 = 11.52 ≈ 12, so 3.72 ≈ 0011.1100. The two's complement is 1100.0011 + 0000.0001 = 1100.0100.

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