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The 8-to-1 multiplexer shown below realize the following Boolean expression—
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- w –x z + – w –x –z + w y z + x –y –z
- w x z + – w y z + w y –z + – w –x –y
- – w z –y + – w –x –z + w x z + –y –z w
- MUX is not enable
Correct Option: C
Here, it is assumed that LSB (i.e., z) is taken as a control line. From given figure
From the above figure, we conclude that
f (w, x, y, z) = Σm (0, 1, 2, 5, 8, 12, 13, 15)
Now, we will minimize f by using k-map
From the K-map given above, we get
f (w, x, y, z) = w y z + w x z + wxz + y z w
Hence alternative (C) is the correct choice.
