(Solved): Consider a logic function F, which has three inputs A,B and C. It is represented as the sum-of-mint ...

Consider a logic function F, which has three inputs A,B and C. It is represented as the sum-of-minterms expression below:use this following student ID to find solution STUDENT ID F(A,B,C)=\sum m(1,a,b,6) =21084996 In the expression above, a, and b are determined according to the table using your student ID (SID) number below: (a) Consider your SID number. Write down F in sum-of-minterms expression in the format \sum m(dots), and then in FULL form, using binary variables A,B and C. (b) Use K-map to optimize F in (i) sum-of-products form, and (ii) product-of-sums form. (c) Use NAND gates and inverters only to draw the logic circuit diagram for the circuit in (b) (i) above. (d) Use NOR gates and inverters only to draw the logic circuit diagram for the circuit in (b) (ii) above. (e) Implement F using a suitable decoder and an external OR gate.