Provide the complete truth table $($without the don$$t care inputs$)$ of an active LOW $5-$input

Priority Encoder $($A$4$ to A$0)$ that will translate to an active$-$HIGH $1-4-2$ code $($X$,$ Y$,$ and Z$).$ Design

the priority encoder circuit output bits using $4-$to$-1$ MUX with an active$-$LOW output and

control inputs A$4$ and A$3.$ Provide the following:

a$.$ Complete Truth Table

b$.$ Design Procedure for the three $4-$to$-1$ MUX