Computer Systems: A Programmer's Perspective (3rd Edition)
Computer Systems: A Programmer's Perspective (3rd Edition)
3rd Edition
ISBN: 9780134092669
Author: Bryant, Randal E. Bryant, David R. O'Hallaron, David R., Randal E.; O'Hallaron, Bryant/O'hallaron
Publisher: PEARSON
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Chapter 6, Problem 6.37HW
Program Plan Intro

Given Information:

Three different functions are given:

// declare 2-D array

typedef int array_t[N][N];

// function to add values of 2-D array

int sumA(array_t a) {

// variable declaration

int i, j;

int sum = 0;

// traverse through rows

for (i = 0; i < N; i++)

// traverse through elements

for (j = 0; j < N; j++) {

// sum of elements

sum = sum + a[i][j];

}

// return sum

return sum;

}

// function to add values of 2-D array

int sumB(array_t a) {

// variable declaration

int i, j;

int sum = 0;

// traverse through columns

for (j = 0; j < N; j++)

// traverse through rows

for (i = 0; i < N; i++) {

// sum of elements

sum = sum + a[i][j];

}

// return sum

return sum;

}

// function to add values of 2-D array

int sumC(array_t a)

{

//variable declaration

int i,j;

int sum=0;

//traverse through columns

for(j=0;j<N;j+=2)

//traverse through rows

for(i=0;i<N;i+=2)

{

//sum of elements

sum+=(a[i][j]+a[i+1][j]+ a[i][j+1]+a[i+1][j+1]);

}

//return sum

return sum;

}

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A 2-way set associative cache consists of four sets. Main memory contains 2K blocks of eight words each. Show the main memory address format that allows us to map addresses from main memory to cache. Be sure to include the fields as well as their sizes. Compute the hit ratio for a program that loops 6 times from locations 8 to 51 in main memory. You may leave the hit ratio in terms of a fraction. Please show details how you obtain the result.
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