Paper 1 · ICT
The binary equivalent of minus 15, using the two's complement system, is
A11110001 ✓ Correct
B11110000
C10001111
DNone of the above
Correct answer: (A) 11110001 — The two's complement of minus 15 is 11110001, so that is the answer.
Explanation
★The two's complement of minus 15 is 11110001, so that is the answer.
★First write plus 15 in eight bits as 00001111.
★Invert every bit to get 11110000, which is the one's complement.
★Then add 1 to get the two's complement.
★11110000 plus 1 gives 11110001.
★So the binary equivalent of minus 15 is 11110001.
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