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: 13

Answer

$8,342$

Work Step by Step

The expanded form of $2096_{\text{sixteen}}$ is: $=(2 \times 16^3) + (0 \times 16^2) + (9 \times 16^1) + (6 \times 1) \\=(2\times 4096) + 0 + (9 \times 16)+6 \\=8192+144+6 \\=8,342$
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