Computer Systems: A Programmer's Perspective Plus Mastering Engineering With Pearson Etext -- Access Card Package (3rd Edition)
Computer Systems: A Programmer's Perspective Plus Mastering Engineering With Pearson Etext -- Access Card Package (3rd Edition)
3rd Edition
ISBN: 9780134123837
Author: Randal E. Bryant, David R. O'Hallaron
Publisher: PEARSON
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Chapter 6.4, Problem 6.15PP

A)

Explanation of Solution

Cache entry and cache byte:

The program running on a machine references the 1-byte word at address “Ox1FE4”. Hexadecimal is a number system of base 16As and as  hex system has 16 digits, the extra needed 6 digits are represented by the first 6 letters of English alphabet which means “ 0,1,2,3,4,5,6,7,8” represents “9,A,?B,?C,?D,?E,?F” respectively in decimal system.

First, one needs to convert the hexadecimal address into binary form:

(0x1FE4)16 = (001874)10=(0000 0000 0001 1111 1110 0100)2

One needs to consider the following set associative (S, E, B, m) = (8, 4, 4, 13). The derived value will be as follows:

The Index (CI):

s=log2(S)   =log2(23) = 3 log2(2) =x

B)

Explanation of Solution

Memory reference:

The address format (1 bit per box) for address “Ox1FE4” is hence represented as:

CTCTCTCTCTCTCTCTCICICICOCO
1111111100100

The memory reference for the above address format “O

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