GATE | Sudo GATE 2020 Mock I (27 December 2019) | Question 15

Consider the following function:

F(A,B,C,D)= Σm(1,3,5,8,14,15) + D(9,10) 

Essential prime implicates are ______________ .
(A) A’B’D and ABC only.
(B) A’B’D and A’C’D only.
(C) A’C’D and ABC only.
(D) A’B’D, A’C’D, and ABC.


Answer: (D)

Explanation: For F(A,B,C,D)= σ m(1, 3, 5, 8, 14, 15) + D(9, 10)
K-map:
Essential prime implicates will be: A’B’D, A’C’D, ABC.

Option (D) is correct.

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