(9 points) Given F = (ACD + BD)(AD + BCD) + BCD, (Important: BD is NOT the same as B D.) a) write this function F as a sum of m's. b) use K-map to simplify the function F with the minimum number of literals and write it in product of sums. construct the circuit diagram of the simplified function with NOR gates only. (Note: You can use NOR gates with any number of inputs. You can also assume that the complements of A, B, C, and D are available and don't need to use inverters or NOR gates to implement , B, C, and D.) c)