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: 18

Answer

=60,919$$

Work Step by Step

RECALL: In the hexadecimal system. $D=13, E=14$, and $F=15$ Thus, the expanded form of $EDF7_{\text{sixteen}}$ is: $=(14 \times 16^3) + (13 \times 16^2)+(15 \times 16^1) + (7 \times 1) \\=(14 \times 4096) + (13 \times 256) + (15 \times 16) + 7 \\=57,344+3,328 + 240+7 \\=60,919$
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