Question: The 2-input exclusive OR operation () is defined as x y = xy + xy. (a) Use perfect induction (drawing truth tables) to prove that

The 2-input exclusive OR operation () is defined as x y = xy + xy.

(a) Use perfect induction (drawing truth tables) to prove that (x y) = xy + xy.

(b) Use Boolean Algebra to prove that (x y) = xy + xy.

(c) Use Boolean Algebra and the fact that (xy) = xy +xy to prove that xy = (x + y)(x + y).

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