Question 1

The law which represents the Boolean equation p => q = p’ + 1 is:

Accepted Answer

Conditional law

Answer

Associative law

Answer

Distributive law

Answer

Bi-conditional law

Question 2

Which of the following is a universal gate?

Accepted Answer

NAND

Answer

AND

Answer

OR

Answer

XOR

Question 3

To perform product of max terms Boolean function must be brought into

Accepted Answer

OR terms

Answer

AND terms

Answer

NOT terms

Answer

NAND temrs

Question 4

According to the Boolean algebra absorption law, which of the following is correct?

Accepted Answer

xy+y=x

Answer

(x+y)=xy

Answer

x+xy=x

Answer

x+y=y

Question 5

When the inputs are A=0, B=1, C=1 and D=0, choose the MAXTERM from the following:

Accepted Answer

A+B’+C’+D

Answer

A’+B’+C+D

Answer

A’+B+C+D’

Answer

A’+B+C’+D

Question 6

Convert A.B + B.C’ to its canonical SOP form using Boolean Algebra and choose the answer from the following:

Accepted Answer

ABC + ABC’ +A’BC’

Answer

(A’+B’)(C’+D’)

Answer

(A+B’)(C+D’)

Answer

(A’+B)(C’+D)

Question 7

Simplify y=AB’+(A’+B)C

Accepted Answer

AB’+C

Answer

AB+AC

Answer

A’B+AC’

Answer

AB+A

Question 8

DeMorgan’s theorem states that _______________

Accepted Answer

(AB)’=A’+B’

Answer

(A+B)’=A’*B

Answer

A’+B’=A’B’

Answer

(AB)’=A’+B

Question 9

If (~P => Q) then choose the inverse from the following.

Accepted Answer

XNOR

Answer

AND

Answer

NOT

Answer

XOR

Question 10

Reduce the given Boolean function F(A,B,C,D)=€( 0, 3, 4, 7, 8, 11, 12, 15) by using 4-variable Karnaugh map and answer the following questions: a. What will be the least number of groups and their types formed for reduction?

Accepted Answer

2 quads

Answer

4 quads

Answer

1 octet

Answer

2 pairs

Question 11

The reduced expression of the Boolean function given above is:

Accepted Answer

CD+C’D’

Answer

C’D+CD’

Answer

AD+C’D

Answer

A’CD+B’D’

Question 12

Reduce the given Boolean function F(A,B,C,D)=π(1, 2, 5, 6, 9, 11, 13, 15) a. What will be the least number of groups and their types formed for reduction?

Accepted Answer

1 pair 2 quads

Answer

2 pairs 2 quads

Answer

1 octet

Answer

2 pairs 1 quad

Question 13

The reduced expression of the Boolean function given above is:

Accepted Answer

(A+C’+D).(C+D’).(A’+D’)

Answer

(A’+C’+D’)(C+D’).(A’+D)

Answer

(A+B+C’).(C+D’)

Answer

(A’+D’).(C’+D)

Question 14

With reference to the program code given below, answer the questions that follow:

Accepted Answer

Perfect number

Answer

Smith number

Answer

Prime number

Question 15

What is the output of the method calculate() when x=4?

Accepted Answer

5

Answer

28

Answer

6

Answer

7

Question 16

Simplify the given expression and choose the answer from the following: (A.B’ + AB) (A+B)

Accepted Answer

A

Answer

BA

Answer

AB’

Answer

B

Question 17

Choose the dual of F=(p+1).(q’+0)

Accepted Answer

F=(p.0)+(q’.1)

Answer

F=(p.1)+(q.1)

Answer

F=(p+1).(q+0)

Answer

F=(p+0).(q’+0)

Question 18

Predict the output from the given code snippet, when value of n=567.

Accepted Answer

560

Answer

7

Answer

765

Answer

567

Question 19

Choose the answer after Converting X + Y to minterms.

Accepted Answer

XY + XY’ + X’Y

Answer

X'Y'+XY'

Answer

XY + X’Y’

Answer

X’Y + XY’

Question 20

Which of the following for loop declaration is not valid?

Accepted Answer

for( int i=99; i>=0; i/9)

Answer

for( int i=2; i<=20; i=2*i)

Answer

for( int i=20; i>=2; --i)

Answer

for( int i=7; i<=77; i+=7)

Question 21

Find the value of value[i] for the above code

Accepted Answer

10

Answer

7

Answer

9

Answer

8

Question 22

What is the output of function show(24,2) ?

Accepted Answer

24

Answer

16

Answer

12

Answer

48

Question 23

When x=5 and y=2 before calculation then predict the output of the following expression: System.out.println(x++/--x%++y * 2);

Accepted Answer

2

Answer

3

Answer

4

Answer

5

Question 24

When x=5 and y=2 before calculation then predict the output of the following expression: System.out.println(x+ ++y);

Accepted Answer

7

Answer

8

Answer

6

Answer

5

Question 25

What is the output of the statements given below? System.out.print('D'+'9'+'9'+'Z');

Accepted Answer

272

Answer

271

Answer

172

Answer

340

Question 26

What is the output of the statements given below?System.out.print(‘z’+’Z’);

Accepted Answer

212

Answer

312

Answer

112

Answer

213

Question 27

When a full adder is using 3-variables X,Y,Z then find the SUM expression.

Accepted Answer

X’Y’Z+ X’YZ’+ XY’Z’+ XYZ

Answer

XYZ'+XY'Z+X'YZ

Answer

X’Y’Z’+ X’Y’Z+ X’Y’Z+ X’YZ’

Answer

XYZ+ XYZ’+ X’YZ+ XY’Z

Question 28

When a full adder is using 3-variables X,Y,Z then find the CARRY expression.

Accepted Answer

XY + YZ + ZX

Answer

X’Y’ + Y’Z + XZ

Answer

XY’ + YZ’ + ZX’

Answer

XY'+YZ'+XZ'

Question 29

The following function is a part of some class to compute that the number is a Pal-prime number or not. If the number is prime and palindrome both then the number is called Pal-prime number. The function returns true if Pal-prime otherwise returns false. There are five places in the code marked by ?1?, ?2?, ?3?, ?4?, ?5? which must be replaced by statement or expression so that the function runs correctly. What is the expression or statement at ?1?

Accepted Answer

n

Answer

dup

Answer

f

Answer

k

Question 30

The following function is a part of some class to compute that the number is Pal-prime number or not. If the number is prime and palindrome both then the number is called Pal-prime number. The function returns true if Pal-prime otherwise returns false. There are five places in the code marked by ?1?, ?2?, ?3?, ?4?, ?5? which must be replaced by statement or expression so that the function runs correctly.What is the expression or statement at ?2?

Accepted Answer

n%i

Answer

i%n

Answer

i%dup

Answer

dup%i

Question 31

The following function is a part of some class to compute that the number is Pal-prime number or not. If the number is prime and palindrome both then the number is called Pal-prime number. The function returns true if Pal-prime otherwise returns false. There are five places in the code marked by ?1?, ?2?, ?3?, ?4?, ?5? which must be replaced by statement or expression so that the function runs correctly.What is the expression or statement at ?3?

Accepted Answer

d

Answer

k

Answer

f

Answer

dup

Question 32

The following function is a part of some class to compute that the number is Pal-prime number or not. If the number is prime and palindrome both then the number is called Pal-prime number. The function returns true if Pal-prime otherwise returns false. There are five places in the code marked by ?1?, ?2?, ?3?, ?4?, ?5? which must be replaced by statement or expression so that the function runs correctly. What is the expression or statement at ?4?

Accepted Answer

f==2

Answer

dup==2

Answer

k==2

Answer

f==k

Question 33

The following function is a part of some class to compute that the number is Pal-prime number or not. If the number is prime and palindrome both then the number is called Pal-prime number. The function returns true if Pal-prime otherwise returns false. There are five places in the code marked by ?1?, ?2?, ?3?, ?4?, ?5? which must be replaced by statement or expression so that the function runs correctly. What is the expression or statement at ?5?

Accepted Answer

n==k

Answer

f==k

Answer

n==dup

Answer

dup==k

Question 34

The following function is a part of some class to compute that the number is Armstrong or not. If sum of cube of all the digits of a number is equal to the number, then it is Armstrong. The function returns true if B is Armstrong otherwise returns false. There are five places in the code marked by ?1?, ?2?, ?3?, ?4?, ?5? which must be replaced by statement or expression so that the function runs correctly.What is the expression or statement at ?1?

Accepted Answer

B

Answer

sum

Answer

num/2

Answer

sum/2

Question 35

The following function is a part of some class to compute that the number is Armstrong or not. If sum of cube of all the digits of a number is equal to the number, then it is Armstrong. The function returns true if B is Armstrong otherwise returns false. There are five places in the code marked by ?1?, ?2?, ?3?, ?4?, ?5? which must be replaced by statement or expression so that the function runs correctly.What is the expression or statement at ?2?

Accepted Answer

B%10

Answer

B/2

Answer

num%2

Answer

num/2

Question 36

The following function is a part of some class to compute that the number is Armstrong or not. If sum of cube of all the digits of a number is equal to the number, then it is Armstrong. The function returns true if B is Armstrong otherwise returns false. There are five places in the code marked by ?1?, ?2?, ?3?, ?4?, ?5? which must be replaced by statement or expression so that the function runs correctly. What is the expression or statement at ?3?

Accepted Answer

(int)Math.pow(d,3)

Answer

d*d

Answer

num*d

Answer

num*B

Question 37

The following function is a part of some class to compute that the number is Armstrong or not. If sum of cube of all the digits of a number is equal to the number, then it is Armstrong. The function returns true if B is Armstrong otherwise returns false. There are five places in the code marked by ?1?, ?2?, ?3?, ?4?, ?5? which must be replaced by statement or expression so that the function runs correctly. What is the expression or statement at ?4?

Accepted Answer

B=B/10

Answer

B=B%10

Answer

B=B%2

Answer

B=B/2

Question 38

The following function is a part of some class to compute that the number is Armstrong or not. If sum of cube of all the digits of a number is equal to the number, then it is Armstrong. The function returns true if B is Armstrong otherwise returns false. There are five places in the code marked by ?1?, ?2?, ?3?, ?4?, ?5? which must be replaced by statement or expression so that the function runs correctly. What is the expression or statement at ?5?

Accepted Answer

sum==num

Answer

sum=num

Answer

sum==B

Answer

sum=B

Question 39

The following program segment calculates the norm of a number, norm of a number is square root of sum of squares of all digits of the number. Example: The norm of 68 is 10 6×6 + 8×8 = 36+64 = 100 square root of 100 is 10. Fill in the blanks with appropriate java statements.

1.(a)?

Accepted Answer

s+d*d

Answer

s*s

Answer

s*s+d

Answer

s*d+d

Question 40

The following program segment calculates the norm of a number, norm of a number is square root of sum of squares of all digits of the number. Example: The norm of 68 is 10 6×6 + 8×8 = 36+64 = 100 square root of 100 is 10. Fill in the blanks with appropriate java statements.

1.(a)?

1.(b)?

Accepted Answer

Math.sqrt(s)

Answer

Math.Sqrt(n)

Answer

Math.sqrt(n)

Answer

Math.SQRT(s)

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