Show that the Boolean function F given by $F ( x , y , z ) = \overline { \bar { x } + y } + x y + \overline { x + y }$ simplifies to $x + \bar { y }$ by using only the definition of a Boolean algebra.

Question

Show that the Boolean function  F  given by $F ( x , y , z ) = \overline { \bar { x } + y } + x y + \overline { x + y }$ simplifies to $x + \bar { y }$ by using only the definition of a Boolean algebra.

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The Answer of Show that the Boolean function  F  given by $F ( x , y , z ) = \overline { \bar { x } + y } + x y + \overline { x + y }$ simplifies to $x + \bar { y }$ by using only the definition of a Boolean algebra.

Show That the Boolean Function F Given By F