Problem #1 (12pts) F-2 (m3,m4,m5,m6,m7) For the above function: a) use a Karnaugh Map to find a minimal sum of products expression. (3pts) b) draw the circuit diagram in LogicWorks using only NAND gates (no inverters) (3pts) c) use a Karnaugh Map to find a minimal product of sums expression. (3pts) d) draw the circuit diagram in LogicWorks using only NOR gates (no inverters). If you simulate the circuit in (b) and the circuit in (d), do you get the same output? (3pts)