Question: 3. Consider the following two equivalent logic equations for Z. Z=((AB)+(AC)+(BC)) (A.B.C) Z (ABC)+(ABC) + (ABC). Draw a schematic diagram for each equation with

3. Consider the following two equivalent logic equations for Z. Z=((AB)+(AC)+(BC)) (A.B.C) 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).

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