Chapter 2, Problem 2.77HW

A.

Explanation of Solution

“C” Expression for “K = 17”:

The C expression to perform the multiplications for “K = 17” is shown below

Expression: (x << 4) + x

Program:

A complete program has been developed to perform the multiplication with “K = 17” is shown below:

//Header file

#include <stdio.h>

#include <assert.h>

//Function definition for part A that is K = 17

int partA(int x)

{

//Returns the value by using "(x << 4) + x"

return (x << 4) + x;

}

//Main function

int main(int argc, char* argv[])

{

//Assign the value for "x"

int xValue = 0x12345678;

/* Call function "partA" with checking value using assert function */

assert(partA(xValue) == 17 * xValue);

return 0;

}

The given code is used to multiply integer variable “x” by constant factor “K = 17”...

B.

Explanation of Solution

“C” Expression for “K = -7”:

The C expression to perform the multiplications for “K = -7” is shown below

Expression: x - (x << 3)

Program:

A complete program has been developed to perform the multiplication with “K = -7” is shown below:

//Header file

#include <stdio.h>

#include <assert.h>

//Function definition for part B that is K = -7

int partB(int x)

{

//Returns the value by using "x - (x << 3);"

return x - (x << 3);

}

//Main function

int main(int argc, char* argv[])

{

//Assign the value for "x"

int xValue = 0x12345678;

/* Call function "partB" with checking value using assert function */

assert(partB(xValue) == -7 * xValue);

return 0;

}

The given code is used to multiply integer variable “x” by constant factor “K = -7”...

C.

Explanation of Solution

“C” Expression for “K = 60”:

The C expression to perform the multiplications for “K = 60” is shown below

Expression: (x << 6) - (x << 2)

Program:

A complete program has been developed to perform the multiplication with “K = 60” is shown below:

//Header file

#include <stdio.h>

#include <assert.h>

//Function definition for part C that is K = 60

int partC(int x)

{

//Returns the value by using "(x << 6) - (x << 2)"

return (x << 6) - (x << 2);

}

//Main function

int main(int argc, char* argv[])

{

//Assign the value for "x"

int xValue = 0x12345678;

/* Call function "partC" with checking value using assert function */

assert(partC(xValue) == 60 * xValue);

return 0;

}

The given code is used to multiply integer variable “x” by constant factor “K = 60”...

D.

Explanation of Solution

“C” Expression for “K = -112”:

The C expression to perform the multiplications for “K = -112” is shown below

Expression: (x << 4) - (x << 7)

Program:

A complete program has been developed to perform the multiplication with “K = -112” is shown below:

//Header file

#include <stdio.h>

#include <assert.h>

//Function definition for part D that is K = -112

int partD(int x)

{

//Returns the value by using "(x << 4) - (x << 7)"

return (x << 4) - (x << 7);

}

//Main function

int main(int argc, char* argv[])

{

//Assign the value for "x"

int xValue = 0x12345678;

/* Call function "partD" with checking value using assert function */

assert(partD(xValue) == -112 * xValue);

return 0;

}

The given code is used to multiply integer variable “x” by constant factor “K = -112”...