Thinking Mathematically (6th Edition)

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: 11

Answer

$28,909$

Work Step by Step

The expanded form of $70355_{\text{eight}}$ is: $=(7 \times 8^4) + (0 \times 8^3) + (3\times 8^2)+(5 \times 8^1) + (5 \times 1) \\=(7\times 4096) + 0 + (3 \times 64)+(5\times 8)+5 \\=28,672+192+40+5 \\=28,909$
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