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: 8

Answer

$23$

Work Step by Step

$10111_{2} = ((1 \times 2^{4}) + (0 \times 2^{3}) + (1 \times 2^{2}) + (1 \times 2^{1}) + (1 \times 2^{0}))_{10} = ((1 \times 16) + (0 \times 8) + (1 \times 4) + (1 \times 2) + (1 \times 1))_{10} = 23_{10}$
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