πŸ“Š Digital Principles and System Design
Q. The expression for Absorption law is given by
  • (A) a + ab = a
  • (B) a + ab = b
  • (C) ab + aa’ = a
  • (D) a + b = b + a
πŸ’¬ Discuss
βœ… Correct Answer: (A) a + ab = a

Explanation: the expression for absorption law is given by: a+ab = a.

πŸ“Š Digital Principles and System Design
Q. DeMorgan’s theorem states that
  • (A) (ab)’ = a’ + b’
  • (B) (a + b)’ = a’ * b
  • (C) a’ + b’ = a’b’
  • (D) (ab)’ = a’ + b
πŸ’¬ Discuss
βœ… Correct Answer: (A) (ab)’ = a’ + b’

Explanation: the demorgan’s law states that (ab)’ = a’ + b’ & (a + b)’ = a’ * b’, as per the dual property.

πŸ“Š Digital Principles and System Design
Q. Maxterm is the sum of of the corresponding Minterm with its literal complemented.
  • (A) terms
  • (B) words
  • (C) numbers
  • (D) nibble
πŸ’¬ Discuss
βœ… Correct Answer: (A) terms

Explanation: maxterm is the sum of terms of the corresponding minterm with its literal complemented.

πŸ“Š Digital Principles and System Design
Q. expressions can be implemented using either (1) 2-level AND-OR logic circuits or (2) 2-level NAND logic circuits.
  • (A) pos
  • (B) literals
  • (C) sop
  • (D) pos
πŸ’¬ Discuss
βœ… Correct Answer: (C) sop

Explanation: sop expressions can be implemented using either (1) 2-level and-or logic circuits or (2) 2-level nand logic circuits.

πŸ“Š Digital Principles and System Design
Q. The K-map based Boolean reduction is based on the following Unifying Theorem: A + A’ = 1.
  • (A) impact
  • (B) non impact
  • (C) force
  • (D) complementarity
πŸ’¬ Discuss
βœ… Correct Answer: (B) non impact

Explanation: the given expression a +a’ = 1 is based on non-impact unifying theorem.

πŸ“Š Digital Principles and System Design
Q. Each product term of a group, w’.x.y’ and w.y, represents the in that group.
  • (A) input
  • (B) pos
  • (C) sum-of-minterms
  • (D) sum of maxterms
πŸ’¬ Discuss
βœ… Correct Answer: (C) sum-of-minterms

Explanation: in a minterm, each variable w, x or y appears once either as the variable itself or as the inverse. so, the given expression satisfies the property of sum of minterm.

πŸ“Š Digital Principles and System Design
Q. The prime implicant which has at least one element that is not present in any other implicant is known as
  • (A) essential prime implicant
  • (B) implicant
  • (C) complement
  • (D) prime complement
πŸ’¬ Discuss
βœ… Correct Answer: (A) essential prime implicant

Explanation: essential prime implicants are prime implicants that cover an output of the function that no combination of other prime implicants is able to cover.

πŸ“Š Digital Principles and System Design
Q. Product-of-Sums expressions can be implemented using
  • (A) 2-level or-and logic circuits
  • (B) 2-level nor logic circuits
  • (C) 2-level xor logic circuits
  • (D) both 2-level or-and and nor logic circuits
πŸ’¬ Discuss
βœ… Correct Answer: (D) both 2-level or-and and nor logic circuits

Explanation: product-of-sums expressions can be implemented using 2-level or-and & nor logic circuits.

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