For the following functions simplify them using just Boolean Algebra Theorems. For every simplified function,

draw the logic circuit using AND, OR$,$ XOR, and NOT gates.

$F=[A(B^{\text{'}}o+C^{\text{'}})+B^{\text{'}}{]}^{\text{'}}$

$F=x^{\text{'}}{Y}^{\text{'}}{Z}^{\text{'}}+x^{\text{'}}Y{Z}^{\text{'}}+x{Y}^{\text{'}}{Z}^{\text{'}}+x{Y}^{\text{'}}Z$

$F=(C^{\text{'}}+B^{\text{'}})(C+A)(B^{\text{'}}+A)+CA$

$F=[(x+Z{)}^{\text{'}}Y+x{Y}^{\text{'}}Z{]}^{\text{'}}$