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: 5b

Answer

$408$

Work Step by Step

The first bit is 0 hence the number is positive. The magnitude bits are $0110011000$. We convert magnitude to decimal: $000110001=1\cdot 2^8+1\cdot 2^7+0\cdot 2^6+0\cdot 2^5+1\cdot 2^4+1\cdot 2^3+0\cdot 2^2+0\cdot 2^1+0\cdot 2^0=408$ Apply sign: $408$
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