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: 62

Answer

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Work Step by Step

a. A 4-bit number can represent values from 0 to 15, or 16 values. The maximum number is represented by 5.0 volts, so each step represents $5.0V/15 = \frac{1}{3}V$. The binary number 1011 = 1+2+8 = 11 in base 10 (decimal). The voltage is $(11)( \frac{1}{3}V)=3\frac{2}{3}V$. b. 2.0 volts is 6 units of $\frac{1}{3}V$ each. The binary representation of 6 is 2+4 = 0110, which is the 4-bit representation for 2.0 volts.
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