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For a twos complement representation, the truncation error is ____________

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For a twos complement representation, the truncation error is ____________

(a) Always positive

(b) Always negative

(c) Zero

(d) None of the mentioned

I got this question in a job interview.

My doubt is from Representation of Numbers in chapter Discrete Time Systems Implementation of Digital Signal Processing

1 Answer

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Best answer
Right answer is (b) Always negative

Best explanation: For a two’s complement representation, the truncation error is always negative and falls in the range

-(2^-b-2^-bm) ≤ Et ≤ 0.

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