For the following functions, program a ROM and PLA; a separate function will be provided for a PAL.

F$($A$,$B$,$C$,$D$)=\backslash$Sigma m$(1,3,5,7,8,9,11)$

G$($A$,$B$,$C$,$D$)=\backslash$Sigma m$(0,2,4,5,7,8,10,11,12)$

H$=$A$^(\text{'})$D$+$AB$+$B$^(\text{'})$CD$^(\text{'})$

$($a$)$ Label the AND gates corresponding to minterms $(0-15).(0\mathrm{.}5$ Points$)$

$($b$)$ Using the functions from the previous section, encode F$,$G$,$ and H using the following PLA. You

will need to share terms between functions. Label each line with its product term. $(1\mathrm{.}0$ Points$)$

$($c$)$ Encode the function f$($w$,$x$,$y$,$z$)=\backslash$Sigma m$(0,1,2,4,6,7,8,9,10,11,12,15).$ You must label your

product terms and use the right$-$most input and top$-$most output lines for any

required feedback.

$(1\mathrm{.}0$ Points$)$

please illustrate all graphs and provide as many details as possible