Given the Boolean equations: Y = (E+F+C)(E+D)(E+C) W = AB'(B+C)' E = P(R'+S') + (RS)'P + R' Please do the following: a) Write the truth table. b) Draw the digital circuit (unsimplified). c) Simplify or reduce the circuit using the table of Boolean logic theorems. d) Draw the simplified circuit based on the Boolean equation from part (c). Note: Be sure to read the Lecture 16 notes for hints on part d. For drawing your circuits, you may write on paper and take a photograph, then copy-paste it into a word document. Alternatively, you may use the program LogicWorks to draw the circuits in BayCloud (accessible from Blackboard) which may be easier.