$($c$)$ a PLA $($Specify the PLA table. Enter your answers as comma$-$separated lists. Use the following as necessary: $0$ and $1.)$

A circuit has four inputs RSTU and four outputs VWYZ$.$RSTU is a decimal digit in Gray code $($see the table below$).$

Here, VW represents the quotient and YZ the remainder when RSTU is divided by $3($ VW and YZ represent $2-$bit binary numbers$).$ Assume that invalid inputs do not

occur. Realize the circuit using the following.