you are asked to implement the function F$=$ AB $+$ B$\text{'}$C $+$ D using the mux$-$based logic block at right.

a$.)$ write the expressions for F when B$=)$ and when B$=1$

b$.)$ show how A$,$ B$,$ C$,$ and D should be connected to the inputs of the logic vlock in order to implement F

c$.)$ due to a design fix, you now have to make a slight changw and implement G$=$AB $+$B$\text{'}$C$+$ D$\text{'}$ with the assumption that we only have the input variables $($but not thier complements$)$ avaliabe to us$,$ can you still implment G using a single mux$-$based logic block shows above?