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A 4 × 1 MUX is used to implement a 3– input Boolean function as shown in figure given below. The Boolean function F (A, B, C) implemented is
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- F (A, B, C) = ∑(1, 2, 4, 6)
- F (A, B, C) = ∑(1, 2, 6)
- F (A, B, C) = ∑( 2, 4, 5, 6)
- F (A, B, C) = ∑(1, 5, 6)
Correct Option: A
The truth-table for given MUX is given as,
Y = ABC + ABC + BC
Y = ABC + ABC + ABC + ABC
Again drawing K-map for Y having three variables
As shown in k -map, the boolean function F(A, B, C) implemented as,
F(A, B, C) = ∑(1, 2, 4, 6)