Consider the function: $F=A*B*C\frac{+}{b}ar(A)*B*C+A*B\frac{*}{b}ar(C)+B\frac{*}{b}ar(C)$

$($a$)$ Draw the truth table of this function.

$($b$)$ Draw a Karnaugh map of this function.

$($c$)$ Find, from your Karnaugh map, a minimal AND$-$OR implemen the function $F.$

$($d$)$ Draw a combinational logic circuit that implements this functio