Physics: Principles with Applications (7th Edition)

Published by Pearson
ISBN 10: 0-32162-592-7
ISBN 13: 978-0-32162-592-2

Chapter 17 - Electric Potential - Problems - Page 498: 61

Answer

The binary number 1010101010101010 equals 43690 when expressed conventionally.

Work Step by Step

Reading from right to left, we see that this number has a “1” in the $2^1$ place, the $2^3$ place, the $2^5$ place, the $2^7$ place, the $2^9$ place, the $2^{11}$ place, the $2^{13}$ place, and the $2^{15}$ place. We have: $$2^1+2^3+2^5+2^7+2^9+2^{11}+2^{13}+2^{15}=43690$$
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