27. 27. Given the function, F(x, y, z) = y(x'z + xz') + x(y2 + yz') 1. a) List the truth table for F. 2. b) Draw the logic diagram using the original Boolean expression. 3. c) Simplify the expression using Boolean algebra and identities. 4. d) List the truth table for your answer in Part c. 5. e) Draw the logic diagram for the simplified expression in Part c