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: 11a

Answer

$57344$

Work Step by Step

The first 10 bits represent magnitude and last 6 bits represent base-2 exponent. The exponent is: $111_2=7_{10}$ mantissa is: $111000000_2=2^8+2^7+2^6=448$ The number is: $448\cdot 2^7=57344$
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