GATE | Sudo GATE 2020 Mock I (27 December 2019) | Question 13

In 16-bit 2’s complement representation is 1111 1111 1110 0100, the equivalent decimal number is ________ .
(A) -11
(B) 28
(C) 11
(D) -28


Answer: (D)

Explanation: 2’s complement of a decimal number:

+28 ⇒ 0000 0000 0001 1100

–28 ⇒ 1111 1111 1110 0100 (2’s complement form) 

Option (D) is correct.

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