Signed binary fractions in 2's-complement representation are discussed at the beginning of Section 6.7.

(a) Express the decimal values 0.5,-0.123, -0.75, and -0.1 as signed 6-bit fractions. (See Appendix E 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

(a) e <1/10 (b) e < (c) e < (d) e < 100 1 1000