Elementary Technical Mathematics

Published by Brooks Cole
ISBN 10: 1285199197
ISBN 13: 978-1-28519-919-1

Chapter 16 - Section 16.6 - Conversion from Binary to Decimal System - Exercise: 20

Answer

26.8125

Work Step by Step

$11010.1101_2$ $=1\times2^4+1\times2^3+0\times2^2+1\times2^1+0\times2^0+1\times\frac{1}{2}+1\times\frac{1}{4}+0\times\frac{1}{8}+1\times\frac{1}{16}$ $=16+8+0+2+0+\frac{1}{2}+\frac{1}{4}+0+\frac{1}{16}$ $=16+8+0+2+0+\frac{8}{16}+\frac{4}{16}+0+\frac{1}{16}$ $=26\frac{13}{16}=26.8125$
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