## Elementary Technical Mathematics

Published by Brooks Cole

# Chapter 16 - Test - Page 567: 2

#### Answer

$23\frac{5}{8}$

#### Work Step by Step

We convert this binary number into a number in normal decimal form. $10111.101=$ $1\times2^4+0\times2^3+1\times2^2+1\times2^1+1\times2^0+1\times\frac{1}{2}+0\times\frac{1}{4}+1\times\frac{1}{8}=$ $16+0+4+2+1+\frac{4}{8}+0+\frac{1}{8}=$ $23\frac{5}{8}$

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