# GATE | Quiz for Sudo GATE 2021 | Question 52

• Last Updated : 18 Dec, 2020

A boolean function f(X,Y,Z) is implemented using 3 x 8 decoder. Where X is LSB and Z is MSB in resulting output. The connection of fan-in is depicted below. Then which of the following option(s) is/are NOT correct?

Note – This question is multiple select questions (MSQ).
(A) Output function F can be represented by either Σ(1, 2, 4, 5) or π(0, 3, 6, 7)
(B) Output function F can be represented by either Σ(0, 3, 6, 7) or π(1, 2, 4, 5)
(C) Output function F can be represented by only π(0, 3, 6, 7)
(D) Output function F can be represented by only Σ(0, 3, 6, 7)

Answer: (A) (C) (D)

Explanation: Output function F can be represented by either Σ(0, 3, 6, 7) or π(1, 2, 4, 5) in sum of product (SOP) and product of sum (POS) respectively.

Option (A), (C) and (D) are not correct.

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