What is the decimal equivalent of the 2's complement signed number 10110?
A) 8
B) - 5
C) 10
D) - 10

Question

Quizplus · Accepted Answer

The binary number 10110 in 2's complement represents a negative number because the leftmost bit (also known as the most significant bit) is 1. To find its decimal equivalent, first, find its positive counterpart by inverting the bits and adding 1. Inverting 10110 gives 01001, and adding 1 gives 01010, which is the binary for 10. Since the original number was negative, its decimal equivalent is -10.

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