Implement the following logic function with an $8$x$1$ MUX.

F $($A$,$ B$,$ C$,$ D$)=($A$+$B$+$D$)($C$+$A$)($B$+$D$)$

Apply the variable A$,$ C$,$ and D to the selection lines.

Also implement the same logic function using discrete logic gates and compare the output waveforms.

The two circuits should be created in the same schematic file using the same inputs. The two sets of outputs from the two circuits should be shown in the same waveform and simulated simultaneously.