$2.$ Part $2$: Implementing Boolean Functions using Multiplexers $(30$ points$)$

The multiplexer, shortened to "MUX" is a combinational logic circuit designed to switch one of several input lines through to a single common output line by the application of a control signal.

You can also use multiplexer IC's to implement Boolean Functions without requiring complex logic gates. Logisim also supports Multiplexer subcircuits.

Using a $4$x$1$ Multiplexer, found in "Plexers" in the Explorer pane, implement following Boolean function $\backslash ($ F$($w$,$ x$,$ y$,$ z$)=\backslash$sum $\backslash$mathrm$\{$m$\}(1,4,5,7,8,11,14,15)\backslash )$

NOTE: the right most bit of MUX selector bits is reserved for 'Enable'.

Create a new Logisim project and save it as Lab$4.$part$2.$circ.