Project $2024-2$

A multi$-$input multi$-$output digital system as in figure $($project $x)$ has $6$inputs $($a$,$ b$,$ c$,$ d$,$ e & f$)$ with $6-$outputs $(k1,k2,k3,k4,k5$ & k$6).$

A$-$ Find the function of the outputs.

B$-$ Find the total cost using table $(1).$

C$-$ Redesign the system to minimize the cost using table $(1).$

D$-$ Prove the new design has same function for the original system.

Table $(1)$: The cost table

$\backslash$table$[[$Inputs$,2,3,4,5,6,8$