Invitation to Computer Science 8th Edition

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

Chapter 5 - Exercises - Page 273: 2a

Answer

$20$ bits

Work Step by Step

If a memory has $N$ bytes, then we need enough bits to represent $N$ unique addresses. Bits in MAR$ = ⌈\log_2N⌉$ For $N=1000000$, we have: Bits in MAR$ = ⌈\log_2(1000000)⌉\approx ⌈19.93⌉ =20$ Minimum bits needed: $20$ bits
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