$(8$ points$)$ For the Boolean function $F_2=B^{\text{'}}*C+A^{\text{'}}*B*C^{\text{'}}+B*C^{\text{'}}$

A$.$ Using the $"$Q$2$A$"$ subcircuit in the provided Logisim file, create a logic diagram which implements $F_2$

using only AND, OR$,$ and NOT gates.

B$.$ Using the $"$Q$2$B$"$ subcircuit in the provided Logisim file, create a logic diagram which implements $F_2$

using only AND and NOT gates. $($When using command$-$line verification, check to ensure that the $"$F$2$A$"$ and

$"$F$2$B$"$ columns show the same outputs.$)$

Hint: Remember DeMorgan's Law: $)\text{'}$