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 is correct?
(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: (B)

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.

So, option (B) is correct.

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