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The output F in the digital logic circuit shown in the figure is

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Best answer

Correct option (A)

Explanation:

Assume dummy variable K as a output of XOR gate K = X ⊕ Y = bar XY + X bar Y

F = k.(K ⊙ Z)

= (bar (KZ) + K.Z)

= K. bar (KZ) + K. K.Z

= 0 + K.Z (∵ K.⌈k = 0 and k.k = k)

Put the value of K in above expression

F = (bar XY + X bar Y)Z

= bar XYZ + X bar YZ

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