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When signed numbers are used in binary arithmetic, then which one of the following            notations would have unique representation for zero*(A) Sign-magnitude.(B) 1’s complement.(C) 2’s complement.(D) 9’s complement

Question

When signed numbers are used in binary arithmetic, then which one of the following            notations would have unique representation for zero*(A) Sign-magnitude.(B) 1’s complement.(C) 2’s complement.(D) 9’s complement

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Solution

The correct answer is (C) 2’s complement.

In binary arithmetic, only the 2's complement representation has a unique representation for zero.

Here's why:

(A) In sign-magnitude notation, zero can be represented in two ways: +0 and -0.

(B) In 1’s complement notation, zero also has two representations: +0 and -0.

(D) 9’s complement is not applicable to binary arithmetic as it is used for decimal numbers.

Therefore, only in 2's complement notation does zero have a unique representation.

This problem has been solved

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