1. A(A + B) = ?

B

A

?

None of the above

Answer: A

Explanation:


2. The Boolean expression Y = AB + (A + B)(A’ + B) may be simplified as ?

Y = A

Y = A’

Y = B

Y = B’

Answer: Y = B

Explanation:


3. The variable A can be written as ?

(A + B’B)

(B+A) (B+ A’)

(AB+ A’B’)

(B+AA’)

Answer: (A + B’B)

Explanation:


4. How is inversion achieved using EX-OR gate ?

Giving input signal to the two input lines of the gate tied together

Giving input to one input line and logic zero to the other line

Giving input to one input line and logic one to the other line

Inversion cannot be achieved using EX-OR gate

Answer: Giving input to one input line and logic one to the other line

Explanation:


5. According to Boolean algebra, which one of the following is incorrect ?

A+1=1

A+0= A

A+A=0

A+ A’ = A

Answer: A+A=0

Explanation:


6. Simplified form of the logic expression (A+B’+C)(A+B’+C’)(A+B+C) is ?

A’B+C’

A+B’C

A

AB + C’

Answer: A+B’C

Explanation:


7. Boolean expression AC + BC’ is equivalent to ?

A’C + BC’ + AC

B’C+AC+ BC’ + A’CB’

AC + BC’ + B’C + ABC

ABC + A’BC’ + ABC’ + ABC’

Answer: ABC + A’BC’ + ABC’ + ABC’

Explanation:


8. The function F= ABC’ + ABC+ A’BC + A’BC’; can be reduced to which one of the following ?

F = A

F=AB

F= ABC

F = B

Answer: F = B

Explanation:


9. D' Morgan law is ?

(ABC)’ = A’B’C’

(ABC)’=A’+B’+C’

(A+B)’=A’+B’

(A+B+C)=A’+B’+C’

Answer: (ABC)’=A’+B’+C’

Explanation:


10. In K-map simplification, a group of four adjacent 1s leads to a term with ?

one literal less than the total number of variables

two literals less than the total number of variables

three literals less than the total number of variables

four literals less than the total number of variables

Answer: two literals less than the total number of variables

Explanation: