Discrete Mathematics with Applications 4th Edition

Published by Cengage Learning
ISBN 10: 0-49539-132-8
ISBN 13: 978-0-49539-132-6

Chapter 2 - The Logic of Compound Statements - Exercise Set 2.5 - Page 94: 35

Answer

$-61$

Work Step by Step

1. For -15, find its 8-bit representation as $(2^8-15)_{10}=(241)_{10}=(11110001)_2$ 2. For -46, find its 8-bit representation as $(2^8-46)_{10}=(210)_{10}=(11010010)_2$ 3. Add up the above to get $111000011_2$ 4. Truncate the leading 1 and treat the result as negative to get $111000011_2\rightarrow -(2^8-195)_{10}=-61$
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