$4.(25$ pts$)$ YOUR ROM polynomial problem

State and solve your own ROM word$-$problem $($Polynomial$)$ with at least three binary inputs:

x$2,$ x$1,$ x$0[07$ in decimal$].$

decimal

x$2$

x$1$

x$0$

$01234567$

$00001111$

$00110011$

$01010101$

$($a$)$ What is the size of the initial $($unsimplified$)$ ROM $?($b$)$ What is the size of the final $($simplified$)$ ROM $?$

$($c$)$ Show in detail the final memory layout.

Give mw your own answers cause whateer solution i got on chegg it didnt work so please don't give copy answer.