Answer
$7.875$
Work Step by Step
Binary number = $111.111$
$111.111 = (1\times2^2)+(1\times2^1)+(1\times2^0)+(1\times\frac{1}{2})+(1\times\frac{1}{4})+(1\times\frac{1}{8})$
= $4+2+1+\frac{1}{2}+\frac{1}{4}+\frac{1}{8}$
= $7+\frac{7}{8}$
=$7.875$
Elementary Technical Mathematics
by Nelson, Robert; Eren, Dale;
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: 13
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