1. The Boolean expression ABC + A’B’C + ABC’ + A’B’C’ ?

OR GATE

AND GATE

EX-NOR GATE

EX-OR GATE

Answer: EX-NOR GATE

Explanation:


2. The Boolean function (x+y) (x’+z) (y+z) is equal to which one of the following expressions ?

(x+y) (y+z)

(x’+y) (y+z)

(x+y)(x’+z)

(x+y)(x+z’)

Answer: (x+y)(x’+z)

Explanation:


3. The open collector outputs of two 2-input NAND gates are connected to a common pull-up resistor. If the inputs of the gates are A, B and C, D respectively, the output is equal to ?

(A.B)’.(C.D)’

(A.B)’+(C.D)’

A.B+C.D

A.B C.D

Answer: (A.B)’.(C.D)’

Explanation:


4. The AND function can be realized by using only n number of NOR gates. What is n equal to ?

2

3

4

5

Answer: 3

Explanation:


5. For the identity AB+ AC + BC = AB+ AC the dual form is ?

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

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

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

A’B’+ AC’ + B’C’ = A’B’ + AC’

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

Explanation:


6. The open collector outputs of two 2-input NAND gates are connected to a common pull up resistor. If the inputs to the gates are P, Q, and R, S respectively. The output is equal to ?

P-Q, R.S.

PQ+ RS

P.Q+R.S

P.Q.R.S

Answer: P-Q, R.S.

Explanation:


7. The dual of x ((yz)’ + yz) is ?

x+(y’+z’) (y+z)

x (y’+z’) + (y+z)

x + (y’z’+y+z)

x+y’z’+yz

Answer: x+(y’+z’) (y+z)

Explanation:


8. The complement form of A(B+C)(C+ D) is ?

A+ BC+DC

A+ BC + CD

A + BC

A+BC+CD

Answer: A+BC+CD

Explanation:


9. The complement of the expression Y = ABC + ABC’ + A’B’C + A’BC is ?

(A+B’) (A+C’)

(A’ + B) (A + C)

(A+B’) (A’+C)

(A’ + B’) (A+C’)

Answer: (A’ + B’) (A+C’)

Explanation:


10. The complement of the Boolean expression AB.(B’C + AC) is ?

(A’+B’) + (B+C’) (A’+C’)

(A’B’)+(BC’+ (AC)’)

(A’ + B’) (B+C’) (A’ + C’)

(A+B) (B’+C) (A+C)

Answer: (A’+B’) + (B+C’) (A’+C’)

Explanation: