Given the function: F$($x$,$y$,$z$)=$ xy$\text{'}$z$+$xy$\text{'}$z$\text{'}+$xyz

a$.$ List the truth table for F$.$

b$.$ Draw the logic circuit using the original Boolean expression

c$.$ Simplify the expression using Boolean algebra and identities.

d$.$ List the truth table for your answer in Part c$.$

e$.$ Draw the logic diagram for the simplified expression in Part c$.$