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$)=\backslash$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 $\backslash$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.