A combinational circuit whose inputs A$,$ B$,$ C$,$ and D has an output to be designed using a $4$ to $1$ MUX that uses $C$ and $D$ as its control inputs with an active$-$LOW enabler. The combinational circuit imputs representa $1-2*4-5$ code whose output $x$ will become $1$ if the comesponding inpout value is an odd number. Frovide the following:

a$.$ Complete and Labelled Truth Table $(5$ points$)$

b$.$ Canonical Forms $($Sum oi Mintems and Product of Mexterms$)$ of the Qutput $(5$ points$]$

c$.$ Design Procedure for the $4-10-1$ MUX $(10$ points$)$

d$.$ Block Diagram of the Design $(5$ points$)$