Invitation to Computer Science 8th Edition

Published by Cengage Learning
ISBN 10: 1337561916
ISBN 13: 978-1-33756-191-4

Chapter 5 - 5.2 - The Components of a Computer System - Practice Problems - Page 238: 7

Answer

\begin{array}{l}{\text { Each byte contains } 8 \text { bits, so } 8 \text { bytes contain } 64 \text { bits. Using two's com- }} \\ {\text { plement representation, the largest positive value would be: }} \\ {\qquad+2^{63}-1=+9,223,372,036,854,775,807} \\ {\text { while the largest negative value would be: }} \\ {\qquad-2^{63}=-9,223,372,036,854,775,808}\end{array}

Work Step by Step

\begin{array}{l}{\text { Each byte contains } 8 \text { bits, so } 8 \text { bytes contain } 64 \text { bits. Using two's com- }} \\ {\text { plement representation, the largest positive value would be: }} \\ {\qquad+2^{63}-1=+9,223,372,036,854,775,807} \\ {\text { while the largest negative value would be: }} \\ {\qquad-2^{63}=-9,223,372,036,854,775,808}\end{array}
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