Prove x-r=(XoY) + XY. Show transcribed image text Prove x-r=(XoY) + XY.
Answer
(X Y) + XY
= XY’ + X’Y + XY= XY’ + X’Y + XY + XY= XY’ + XY + X’Y + XY= X(Y’ + Y) + Y(X’ + X)= X(1) + Y(X’ + X)= X + Y(X’ + X)= X + Y(1)= X + Y
Prove x-r=(XoY) + XY. Show transcribed image text Prove x-r=(XoY) + XY.
Answer
(X Y) + XY
= XY’ + X’Y + XY= XY’ + X’Y + XY + XY= XY’ + XY + X’Y + XY= X(Y’ + Y) + Y(X’ + X)= X(1) + Y(X’ + X)= X + Y(X’ + X)= X + Y(1)= X + Y