Digital Logic and Design MCQs with Answers
Practice important Digital Logic and Design MCQs with answers and explanations.
Chapter: 8
Q281:
How is the Product-of-Sums (POS) form represented?
A. (A + B)(A + C)
B. AB + ABC
C. A + B + C
D. (A + B)(A + C) (B + C)
Correct Answer:
A
Chapter: 8
Q282:
Which theorem states that the complement of a product of variables is equal to the sum of their complements?
A. Demorgan’s First Theorem
B. Demorgan’s Second Theorem
C. Associative Law
D. Commutative Law
Correct Answer:
A
Chapter: 8
Q283:
What is the result of simplifying the Boolean expression A + A.B?
A. A + B
B. A.B
C. A
D. A.B + A.C
Correct Answer:
A
Chapter: 8
Q284:
In a Sum-of-Products (SOP) form, what does each term represent?
A. Sum of product terms
B. Product of sum terms
C. Sum of sum terms
D. Product of product terms
Correct Answer:
A
Chapter: 8
Q285:
What is the correct SOP implementation for the expression B + AC?
A. An OR gate followed by AND gates
B. An AND gate followed by OR gates
C. OR gates followed by AND gates
D. An AND gate followed by OR gates
Correct Answer:
C
Chapter: 8
Q286:
How is the Boolean expression (A + B)(B + C) simplified in POS form?
A. A + B.C
B. A.B + B.C
C. (A + B)(B + C)
D. A.B + A.C
Correct Answer:
C
Chapter: 8
Q287:
What is the result of the Boolean operation (A + B).(A + C)?
A. A + B + C
B. A.B + B.C
C. A.B.C
D. A + B.C
Correct Answer:
A
Chapter: 8
Q288:
What is the simplified result of AB + A(B + C) + B(B + C)?
A. B + AC
B. A + B.C
C. B + A.C
D. A + B
Correct Answer:
A
Chapter: 8
Q289:
What does Demorgan’s Second Theorem state?
A. The complement of a sum of variables is equal to the product of their complements.
B. The complement of a product of variables is equal to the sum of their complements.
C. The sum of complements equals the product of complements.
D. The product of complements equals the sum of complements.
Correct Answer:
A
Chapter: 9
Q290:
What is the result of the Boolean expression A.B + A.B.C.D when A=0, B=0, C=1, and D=1?
A. zero
B. 1
C. Undefined
D. 0.5
Correct Answer:
B
Chapter: 9
Q291:
In Boolean algebra, what is the result of A.B.C.D when A=1, B=1, C=1, and D=0?
A. zero
B. 1
C. Undefined
D. 0.5
Correct Answer:
A
Chapter: 9
Q292:
Which Boolean theorem can simplify the expression A + A.B?
A. Demorgan's Theorem
B. Distributive Law
C. Complement Law
D. Absorption Law
Correct Answer:
D
Chapter: 9
Q293:
What is the simplified form of the Boolean expression (A.B.C).(C + D)?
A. A.B.C.D
B. A.B.C + C.D
C. A.B + C.D
D. A + B + C
Correct Answer:
A
Chapter: 9
Q294:
How is the Boolean expression A.B + A.B.C.D simplified using Demorgan’s theorem?
A. A.B.C.D
B. A.B
C. A.B + A.C.D
D. A.B.C.D
Correct Answer:
B
Chapter: 9
Q295:
For the Boolean expression A + B.C, which logic gate combination would implement it?
A. AND-OR gates
B. OR-AND gates
C. NOR-NAND gates
D. AND-NOR gates
Correct Answer:
A
Chapter: 9
Q296:
What is the result of X = A.B and Y = C + D when X=1 and Y=1?
A. 1
B. zero
C. Undefined
D. 0.5
Correct Answer:
B
Chapter: 9
Q297:
What does a truth table for the expression A.B + A.B.C.D indicate when A=1, B=1, C=1, and D=1?
A. zero
B. 1
C. Undefined
D. 0.5
Correct Answer:
B
Chapter: 9
Q298:
How is the Boolean function F = A.B.C.D implemented using logic gates?
A. OR gates
B. AND gates
C. NOR gates
D. XOR gates
Correct Answer:
B
Chapter: 9
Q299:
Which form is used to represent Boolean expressions in canonical form?
A. SOP
B. POS
C. Both SOP and POS
D. Neither SOP nor POS
Correct Answer:
C
Chapter: 9
Q300:
The carry output of a full adder is obtained from ________
A. OR gate
B. AND gate
C. XOR gate
D. NOR gate
Correct Answer:
B