Given the function: : F$($x$,$y$,$z$)=$xy $$z$+$xy $$z $+$xyz

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

b$.$ Draw the logic circuit using the original Boolean expression. Make sure you

have a single set of input on the left of diagram.

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$.$