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: 17

Answer

4.8125

Work Step by Step

$100.1101_2$ $=1\times2^2+0\times2^1+0\times2^0+1\times\frac{1}{2}+1\times\frac{1}{4}+0\times\frac{1}{8}+1\times\frac{1}{16}$ $=4+0+0+\frac{1}{2}+\frac{1}{4}+0+\frac{1}{16}$ $=4+0+0+\frac{8}{16}+\frac{4}{16}+0+\frac{1}{16}$ $=4\frac{13}{16}=4.8125$
Update this answer!

You can help us out by revising, improving and updating this answer.

Update this answer

After you claim an answer you’ll have 24 hours to send in a draft. An editor will review the submission and either publish your submission or provide feedback.