Consider the circuit above. Which one of the following options correctly represents f (x, y, z)?
(A) xz’ + xy + y’z
(B) xz’ + xy + (yz)’
(C) xz + xy + (yz)’
(D) xz + xy’ + y’z
Answer: (A)
Explanation: Output from MUX 1=> Z’X+ZY’
Output from MUX2=> Y’(Z’X+ZY’)+YX
=>Y’Z+Y’Z’X+YX
=>Y’Z+X(Y’Z’+Y)
=>Y’Z+X(Y+Z’)       USING A+A’B=(A+B)
=>Y’Z+XY+XZ’
So Ans is (A).
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