Answer
$45$
Work Step by Step
The expanded form of $101101_{\text{two}}$ is:
$=(1 \times 2^5) + (0 \times 2^4)+(1 \times 2^3) + (1 \times 2^2) + (0 \times 2^1) + (1 \times 1)
\\=(1\times 32) + 0 + (1 \times 8)+(1 \times 4)+0+1
\\=32+8+4+1
\\=45$
Thinking Mathematically (6th Edition)
by Blitzer, Robert F.
Published by
Pearson
ISBN 10:
0321867327
ISBN 13:
978-0-32186-732-2
Chapter 4 - Number Representation and Calculation - 4.2 Number Bases in Positional Systems - Exercise Set 4.2 - Page 226: 16
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