Find the 8-bit signed numbers with a 4-bit integer and a 4-bit fraction for the following decimal values and errors.

Question

Find the 8-bit signed numbers with a 4-bit integer and a 4-bit fraction for the following decimal values and errors.

a. 3.45

b. –5.73

Answer 1

0.45 = 0.25 + 0.2

= 0.25 + 0.125 + 0.075

= 0.25 + 0.125 + 0.0625 + 0.0075

00011.0111

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0.73 = 0.5 + 0.23

= 0.5 + 0.125 + 0.105

10101.1010