Using Logisim program on PC:

I. $(8$ points$)$ Consider the following description of a Boolean function $F_1$ : "The function $G$ is True whenever $(A$ is True and $B$ is False$)$ or $(A$ is False and $B$ is False and $C$ is True$)$; for all other

cases, F$1$ is False."

A$.$ Show the Boolean function representing $F_1.($Enter the Boolean function in the text label provided in the $"$Q$1"$ subcircuit.$)$

B$.$ Using the $"$Q$1"$ subcircuit in the provided Logisim file, create a digital logic circuit which implements $F_1$ using only AND, OR$,$ and NOT gates.

Boole$$n$$ Function$$n:

A $$

B

$1$

$($@$)$

$C$