Using the postulates of Boolean algebra, prove the following formulas

(please specify each steps)

f. F(x, y, z) = x'y + xyz' + xyz = y g. G(w, x, y, z) = (xy' + wz)(wx' + yz') = 0) h. H(x, y) = (x +y)(x' + y')' = ry i. I(A, B, C, D) = ABC" + A'C' D+ AB'C' + BC'D + AD = AC" + A'D j. J(x, y, z) = x'Y'z' + x'y'z + x'yz + xy'z + xyz = x'y' +z k. K(X,Y,Z) = X'Y' +Y'Z + XZ + XY +YZ' = X'Y' + XZ+YZ' 1. L(A, B, C, D) = ((A' + B')' + A'B')(C'D' +CD)+(AC)' = A' +C! + BD