1.) Construct a truth table for the following:

A.) XYZ + X ~Y ~Z + ~X ~Y ~Z

B.) (x+y) (x+z) (x+z)

2.) Using DeMorgans Law write an expression for the complement F (X, Y, Z) = XY +XZ + YZ.

3.) Show that XZ=(X+~Y) (~X+Z)

A.)Using a truth table

B.)Using Boolean Identities

4.) Write Boolean Expression in sum of products form.

x	y	z	F
0	0	0	1
0	0	1	0
0	1	0	0
0	1	1	1
1	0	0	0
1	0	1	0
1	1	0	1
1	1	1	0