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: 28

Answer

-103

Work Step by Step

The number in first number in the integer determines the sign: Thus the sign is negative. (1)0011001 Find one's compliment 10011001 → 01100110 Find two's compliment (add 1) 01100110 → 01100111 Find base conversion 01100111 → 0(2^6)(2^5)00(2^2)(2^1)(2^0) 2^6 = 64 2^5 = 32 2^2 = 4 2^1 = 2 2^0 = 1 -(64+32+4+2+1) = -103
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