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The truncation error for the sign magnitude representation is symmetric about zero.

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The truncation error for the sign magnitude representation is symmetric about zero.

(a) True

(b) False

I had been asked this question in final exam.

I'd like to ask this question from Representation of Numbers topic in portion Discrete Time Systems Implementation of Digital Signal Processing

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Correct choice is (a) True

The best explanation: The truncation error for the sign magnitude representation is symmetric about zero and falls in the range

-(2^-b-2^-bm) ≤ Et ≤ (2^-b-2^-bm).

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