Consider the logic functions F and G below: use the following STUDENT ID to find the solution

F$($A$,$B$,$C$)=\backslash$sum m$(0,1,$a$,$b$)$

G$($A$,$B$,$C$,$D$)=\backslash$sum m$($c$,3,6,7,$d$,12,13,15)$

STUDENT ID $=21084996$

In the expressions above, integers a to d are determined according to the table using your

student ID $($SID$)$ number below:

The example values of a to d above are derived from a student ID number $22137408$A$.$

$($a$)$ Consider your SID number. Find the values of a to d$.$

$($b$)$ Consider an implementation of F with an $8-$to$-1-$line MUX. What are the values to be

fixed at the information inputs I$0$ to I$7?$

$($c$)$ Consider an implementation of G with an $8-$to$-1-$line MUX, with inputs A$,$B$,$C

connected to the selection inputs S$2$ to S$0.$ What are the values to be fixed at the

information inputs I$0$ to I$7?$

$($d$)$ Consider an implementation of functions F and G together using a $4-$to$-1-$line DUAL

MUX, with inputs A and B connected to the selection inputs S$1$ and S$0.$ MUX outputs

Y$0$ for function F and outputs Y$1$ for function G$.$ What are the values to be fixed at the

information inputs I$0,0$ to I$3,1?$