1. Using DeMorgan's Law, show an expression for the complement of F if F(w,x,y,z) = xz'(x'yz + x) + y(w'z + x').
2. Using DeMorgan's Law, show an expression for the complement of F if F(x,y,z) = xz' (xy + xz) + xy'(wz + y)
3. Is the following distributive law valid or invalid? Prove your answer. x XOR (y + z) = (x XOR y) + (x XOR z)
4. Show that xz = (x + y)(x+y')(x' + z) a) Using truth tables b) Using Boolean identities
Please kindly complete the following question.