Question: In certain situations, you can be sure that a + b is exactly representable as a floating-point number, that is, no rounding is necessary. a.

In certain situations, you can be sure that a + b is exactly representable as a floating-point number, that is, no rounding is necessary.

a. Give an example where the exponents differ by 1, a and b have different signs, and a + b is not exact.

b. If a b 0, and the top two bits of a cancel when computing a b, explain why the result is exact.

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