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: 18

Answer

1.96875

Work Step by Step

$1.11111_2$ $=1\times2^0+1\times\frac{1}{2}+1\times\frac{1}{4}+1\times\frac{1}{8}+1\times\frac{1}{16}+1\times\frac{1}{32}$ $=1+\frac{1}{2}+\frac{1}{4}+\frac{1}{8}+\frac{1}{16}+\frac{1}{32}$ $=1+\frac{16}{32}+\frac{8}{32}+\frac{4}{32}+\frac{2}{32}+\frac{1}{32}$ $=1\frac{31}{32}=1.96875$
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