For the Boolean function F$2=$ B$\text{'}$ C $+$ A$\text{'}$ B $$ C$\text{'}+$ B $$ C$\text{'}.$ 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: A $+$ B $=($ A$\text{'}$ B$\text{'})\text{'}$