Invitation to Computer Science 8th Edition

Published by Cengage Learning
ISBN 10: 1337561916
ISBN 13: 978-1-33756-191-4

Chapter 4 - Exercises - Page 217: 10b

Answer

$1101000100000101$

Work Step by Step

The first 10 bits represents mantissa and the next 6 bits represent base-2 exponent. $20.25=20+0.25=2^4+2^2+2^{-2}=10100.01_2=0.1010001\cdot 2^5$ The exponent is $5=101_2$ The number is: $1101000100000101$
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