Given the following truth table

Inputs

Output

Inputs

Output

A

B

C

Y

A

B

C

Y

$0$

$0$

$0$

$1$

$1$

$0$

$0$

$0$

$0$

$0$

$1$

$0$

$1$

$0$

$1$

$1$

$0$

$1$

$0$

$0$

$1$

$1$

$0$

$0$

$0$

$1$

$1$

$1$

$1$

$1$

$1$

$0$

Write a sum$-$of$-$products Boolean expression for the truth table $(3$ points$)$

Diagram a logic circuit $($using LogicWorks$)$ that will perform the logic in the truth table $(4$ points$)$