Invitation to Computer Science 8th Edition

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

Chapter 4 - 4.2 - The Binary Numbering System - Practice Problems - Page 166: 4

Answer

Because the leftmost digit is a $1,$ the number is negative. The magnitude is represented by the remaining 7 digits, $0010111,$ which is $1+2+4+$ $16=23 .$ Thus, the number is $-23 .$

Work Step by Step

Because the leftmost digit is a $1,$ the number is negative. The magnitude is represented by the remaining 7 digits, $0010111,$ which is $1+2+4+$ $16=23 .$ Thus, the number is $-23 .$
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