1. [A’+ (BC)’]’ is ?

A+B+C

ABC

A+B’C’

A (B+C)

Answer: ABC

Explanation:


2. The simplified form of the Boolean expression Y=(A’.BC + D) (A’.D+ B’.C’) can be written as ?

A’.D+ B’.C’.D

AD+B.C’.D

(A’ + D) (B’.C + D’)

A.D’+B.C.D’

Answer: A’.D+ B’.C’.D

Explanation:


3. In Boolean algebra, if F=(A + B)(A’ + C) then ?

F=AB+ A’C

F=AB+A’B’

F=AC+ A’B

F=AA’+A’B

Answer: F=AC+ A’B

Explanation:


4. The Boolean expression Y = A’B’C’D+ A’BCD’+ AB’C’D + ABC’D’ can be minimized to ?

Y= ABCD+ ABC + ACD

Y= ABCD + BCD + ABCD

Y= ABCD + BCD + ABCD

Y= ABCD + BCD + ABCD

Answer: Y= ABCD + BCD + ABCD

Explanation:


5. Given Boolean theorem AB+ A’C + BC = AB + A’C .Which of the following identities is true ?

(A+B) (A’+C) (B + C) = (A + B) · (A’+ C)

AB+A’C+ BC = AB + BC

AB+ A’C + BC = (A + B)(A’+C)(B+C)

(A+B) (A’+C)(B+C) = AB+ A’C

Answer: (A+B) (A’+C) (B + C) = (A + B) · (A’+ C)

Explanation:


6. The Boolean expression A.B + A’.B’ is logically equivalent to which of the following? 1. (A+B’)-(A’ + B) 2. (A’+B’).(A+B) 3. [A.B’+A’B]’ 4. (A.B)’.(A’.B’)’ Select the correct answer using the code given below: ?

1 and 2 only

2 and 3 only

1 and 3 only

None of these

Answer: 1 and 3 only

Explanation:


7. The Boolean expression (A’ + B) (A+C’)(B’+C’) simplifies to ?

(A + B)C’

(A + B’)C’

(A’ + B)C’

(A’ + B’)C’

Answer: (A’ + B)C’

Explanation:


8. Consider the Boolean expression X = ABCD + ABCD + ABCD + ACBD The simplified form of X is ?

C’+ D’

BC

CD

B’C

Answer: CD

Explanation:


9. If x and y are Boolean variables, which one of the following is the equivalent of x X-OR y X-OR xy ?

x+y’

x+y

0

1

Answer: x+y

Explanation:


10. The dual of A+B+C is ?

A.B.C

x + x’ = 1

(A + B) C

x + x’ = 0

Answer: A.B.C

Explanation: