Computer Science: An Overview: Global Edition (12th Edition)

Published by Pearson Higher Education
ISBN 10: 1292061162
ISBN 13: 978-1-29206-116-0

Chapter 1 - Data Storage - Chapter Review Problems - Page 88: 42

Answer

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Work Step by Step

a. The common value represented by both bit patterns in excess 16 notation and two's complement notation can be determined to be the same. This is because both notations represent the same numerical value but using different encoding schemes. b. When both systems use the same bit pattern length, the relationship between a pattern representing a value stored in two's complement notation and the pattern representing the same value stored in excess notation is that they will differ by a fixed offset. In the excess notation, the offset is determined by the bias used (in this case, 16), while in two's complement notation, the offset is determined by the most significant bit, which represents the sign of the number. Therefore, the two patterns will be related by a constant offset, with one representation shifted relative to the other.
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