Question

x+y verious xy, proved-- x verious y​

Answer 1

Answer:

Explanation:My Answer.  

X   Y   X’  X’.Y    X+X’.Y  X+Y

0   0   1   0       0       0

0   1   1   1       1       1

1   0   0   0       1       1

1   1   0   0       1       1

Prove algebraically that X + X’Y = X + Y.

L.H.S. = X + X’Y

          = X.1 + X’Y        (X . 1 = X property of 0 and 1)

          = X(1 + Y) + X’Y   (1 + Y = 1 property of 0 and 1)

          = X + XY +  X’Y                                                              

          = X + Y(X + X’)

          = X + Y.1          (X + X’ =1 complementarity law)

          = X + Y            (Y . 1 = Y property of 0 and 1)

          = R.H.S.      Hence proved.

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