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2. Construct a truth table for the following: a) xyz + x(yz)' + x'(y + 2) + (xyz)' b) (x + y)(x' + Z')' + ) 4. Using DeMorgan's Law, write an expression for the complement of F if F(x, y, z) = (x' + y)(x + 2)(y' + z)'. 6. Using DeMorgan's Law, write an expression for the complement of Fif F(x, y, z) = xz'(xy + xz) + xy' (wz + y). 14. Simplify the following functional expressions using Boolean algebra and its identities. List the identity used at each step. a) F(x, y, z) = y (x' + (x + y)) b) F (x, y, z) = x 'yz + xz c) F(x, y, z) = (x' + y +z)' + xy'z' + yz + xyz