4. Reduce each of the following expressions using the consensus theorem or its dual (hint: each expression reduces to three terms): (a) (2 points) W Y Z0 + W XY + XY 0Z + X0Y Z0 + W XZ (b) (2 points) (A + B)(B + C 0 )(A0 + B + C 0 )(A0 + C 0 + D)(A0 + B0 + D)

4. Reduce each of the following expressions using the consensus theorem or its dual (hint: each expression reduces to three terms): (a) (2 points) WYZ +WXY +XY'Z +X'YZ+WXZ (b) (2 points) (A+ B)(B+C)(A'+B+C(A'CD(A'B'+D)