Computer Architecture. Complete all probelms and show work, please and thank you. EVERY QUESTION MARK"?" OUTSIDE PARENTHESIS IS A $"$Y$\_"$; INSIDE PARENTHESIS IS $"$X$\_$"WHEN I CHANGED THE $?$ TO y AND x CHEGG WOULDN'T LET ME UPLOAD THE QUESTION. SORRY FOR THE INCONVIENCE.

$1.)$Obtain SOP Expansions of the Boolean functions $\_0(\_0,\_1,\_2),\_1(\_0,\_1,\_2)$ and y$\_2(\_0,\_1,\_2)2.)(15$ points$)$ Obtain POS Expansions of the Boolean functions $0(0,1,2),1(0,1,2)$ and y$\_2(\_0,\_1,\_2)3.)$Using K$-$Map, simplify the Boolean functions $0(0,1,2),1(0,1,2)$ and y$\_2(\_0,\_1,\_2)$ obtained in $(1.)4.)(15$ points$)$ Using K$-$Map, simplify the Boolean functions $0(0,1,2),1(0,1,2)$ and y$\_2(\_0,\_1,\_2)$ obtained in $(2.)5.)(10$ points$)$ Considering $\_0(\_0,\_1,\_2),1(\_0,\_1,\_2)$ and $\_2(\_0,\_1,\_2)$ obtained in $(3.),$ draw the schematic of the logical circuit Figure$-1$ using three basic gates only $(2-$input AND gates, $2-$input OR gates, NOT gates$).6.)(10$ points$)$ Considering $\_0(\_0,\_1,\_2),\_1(\_0,\_1,\_2)$ and $\_2(\_0,\_1,\_2)$ obtained in $(4.),$ draw the schematic of the logical circuit Figure$-1$ using three basic gates only $(2-$input AND gates, $2-$input OR gates, NOT gates$).7.)(20$ points$)$ Considering $\_0(\_0,\_1,\_2),\_1(\_0,\_1,\_2)$ and $\_2(\_0,\_1,\_2)$ obtained in $(3.),$ draw the schematic of the logical circuit Figure$-1$ using three $4$x$1$ multiplexers with selection inputs $($B$,$C$)($and also basic gates if required$).$