GATE | GATE CS 2012 | Question 65

The truth table

represents the Boolean function
(A) X
(B) X+Y
(C) X xor Y
(D) Y


Answer: (A)

Explanation: The value of f(X, Y) is same as X for all input pairs.

Also sum of product form of expression we get,

= XY’+XY
= X(Y’+Y)
= X *1
= X 

We see from truth table –

Column x = f(x,y) 
So , 
f(x,y)=x 

Option (A) is correct.

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