3. Consider the following two equivalent logic equations for Z. Z=((AB)+(AC)+(BC))(ABC)Z=(ABC)+(ABC)+(ABC) Draw a schematic diagram for each equation with minimum number of 2-input gates. Answer which equation is more efficient in terms of the number of 2-input gates. Note that the negator is not counted for this. 4. Prove that the two equations for Z (shown in \#3) are equivalent by using DeMorgan's laws and other basic laws (if needed)