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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