can you show workings please

3. Given the Boolean function below : F = xyz + x'yz + w x'y + w' xy + wxy (a) Obtain the truth table of the function F [ 5 marks ] (b) Draw the logic Diagram using the original Boolean expression. [ 5 marks ] (c) Simplify the function to a minimum number of literals using Boolean algebra. [ 5 marks ] (d) Obtain the truth table of the function from the simplified expression and show that it is the same as the one in part (a). [ 5 marks ] (e) Draw the logic diagram from the simplified expression and compare the total number of gates with the diagram from part (b). [ 5 marks ]