The function $\frac{?}{MU}x(A,B,C,D,E)=C{D}^{\text{'}}E+$CDE$+A^{\text{'}}{D}^{\text{'}}E+A^{\text{'}}{B}^{\text{'}}D{E}^{\text{'}}+BCD$ is to be designed

using a Multiplexer. Provide the following:

a$.$ Complete Truth Table

b$.$ Canonical Forms $($Sum of Minterms and Product of Maxterms$)$

c$.$ Design Procedure using:

i$.8-$to$-1$ MUX using A$,$ C$,$ and E as the control inputs

ii$.4-$to$-1$ MUX using B and E as the control inputs

iii. $2-$to$-1$ MUX using $D$ as the control input