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: 1

Answer

If the memory unit is a two-dimensional grid $1,024\left(2^{10}\right)$ by $1,024\left(2^{10}\right)$ then it contains a total of $1,048,576\left(2^{20}\right)$ memory cells. We need a total of 20 bits to represent all the possible memory addresses, which range from 0 to $2^{20}-1 .$

Work Step by Step

If the memory unit is a two-dimensional grid $1,024\left(2^{10}\right)$ by $1,024\left(2^{10}\right)$ then it contains a total of $1,048,576\left(2^{20}\right)$ memory cells. We need a total of 20 bits to represent all the possible memory addresses, which range from 0 to $2^{20}-1 .$
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