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

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

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

Show answer & explanation

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. (The paper prints '28'; the options represent −28.)

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