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Unit 2 · Computer System Architecture Paper 2 CS · December 2022 (Shift 1)

In 16-bit 2's Complementation representation, the decimal number 28 is

Pick an option to check yourself, or open the answer below.

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Correct answer: C. 1111 1111 1110 0100

Explanation

28 = 0000 0000 0001 1100. Inverting gives 1111 1111 1110 0011, and adding 1 gives 1111 1111 1110 0100, which is −28.

Note: The key corresponds to −28; the minus sign appears to be missing from the question. +28 is 0000 0000 0001 1100.

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