What is the maximum representation error

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[M] Signed binary fractions in 2's-complement representation are discussed in Section 1.4.2.

(a) Express the decimal values 0.5, -0.123, -0.75, and -0.1 as signed 6-bit fractions. (See Section 9.8 for decimal-to-binary fraction conversion.)

(b) What is the maximum representation error, e, involved in using only 5 significant bits after the binary point?

(c) Calculate the number of bits needed after the binary point so that the representation error e is less than 0.1, 0.01, or 0.001, respectively.

Reference no: EM131209962

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