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 - Page 558: 14

Answer

12.6875

Work Step by Step

$1100.1011_2$ $=1\times2^3+1\times2^2+0\times2^1+0\times2^0+1\times\frac{1}{2}+0\times\frac{1}{4}+1\times\frac{1}{8}+1\times\frac{1}{16}$ $=8+4+0+0+\frac{1}{2}+0+\frac{1}{8}+\frac{1}{16}$ $=8+4+0+0+\frac{8}{16}+0+\frac{2}{16}+\frac{1}{16}$ $=12\frac{11}{16}=12.6875$
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