Given a boolean function f (x1, x2, ..., xn), which of the following equations is NOT true

f(x1, x2, ..., xn) = f(0, x2, …, xn) + f(1, x2, ..., xn)

f(x1, x2, …, xn) = x1'f(x1, x2, …, xn) + x1f(x1, x2, …, xn)

f(x1, x2, ..., xn) = x2f(x1, x2, …, xn) + x2'f(x1, x2, …, xn)

f(x1, x2, ..., xn) = xn'f(x1, x2, …, 0) + xnf(x1, x2, …,1)

C Functions

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Question 1

What is the output of the following program ?

main (){
int x = 2, y = 5;
if(x < y) return (x = x + y);
else printf ("z1");
printf("z2");

z2
z1z2
Compilation error
None of these

Question 2

Consider the following program:

int f(int *p, int n)
{
    if (n <= 1) return 0;
    else return max(f(p+1,n-1),p[0]-p[1]);
}
int main()
{
    int a[] = {3,5,2,6,4};
    printf("%d", f(a,5));
}

Note: max(x,y) returns the maximum of x and y. The value printed by this program is

Question 3

Given a boolean function f (x₁, x₂, ..., x_n), which of the following equations is NOT true

f(x₁, x₂, …, x_n) = x₁'f(x₁, x₂, …, x_n) + x₁f(x₁, x₂, …, x_n)
f(x₁, x₂, ..., x_n) = x₂f(x₁, x₂, …, x_n) + x₂'f(x₁, x₂, …, x_n)
f(x₁, x₂, ..., x_n) = x_n'f(x₁, x₂, …, 0) + x_nf(x₁, x₂, …,1)
f(x₁, x₂, ..., x_n) = f(0, x₂, …, x_n) + f(1, x₂, ..., x_n)

Question 4

Consider the following program written in pseudo-code. Assume that x and y are integers.

Count (x, y) {
    if (y !=1 ) {
        if (x !=1) {
            print("*");
            Count (x/2, y);
        }
        else {
            y=y-1;
            Count (1024, y);
        }
    }
}

The number of times that the print statement is executed by the call Count(1024, 1024) is _______ .

Note - This was Numerical Type question.

10230
10
1023
23010

Question 5

Consider the function

int fun(x: integer)
{
If x > 100 then fun = x – 10;
else
fun = fun(fun(x + 11));
}

For the input x = 95, the function will return

Question 6

Consider the function

int func(int num) {
int count = 0;
while(num) {
count++;
num >>= 1;
}
return(count) ;
}

For func(435) the value returned is

Question 7

Consider the following C function

void swap ( int x, int y )
{
int tmp;
tmp = x;
x= y;
y = tmp;
}

In order to exchange the values of two variables a and b:

Call swap (a, b)
Call swap (&a, &b)
swap(a, b) cannot be used as it does not return any value
swap(a, b) cannot be used as the parameters passed by value

Question 8

Which of the following is/are side effects of scan conversion ? a. Aliasing b. Unequal intensity of diagonal lines c. Overstriking in photographic applications d. Local or Global aliasing

a and b
a, b and c
a, c and d
a, b, c and d

Question 9

Consider the following C code. #include

#include 
void main()
{
 double pi = 3.1415926535;
 int a = 1;
 int i;
 for(i=0; i < 3; i++)
 if(a = cos(pi * i/2) )
 printf("%d ",1);
 else printf("%d ", 0);
}

What would the program print?

Question 10

Consider the following C function:

int f(int n)
{
static int i = 1;
if(n >= 5) return n;
n = n+i;
i++;
return f(n);
}

The value returned by f(1) is

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