a) Consider the proposition: Construct a truth table for this proposition b) The logical function T(p, q, r) is defined by the following truth table: p q r T(p, q,r) F T F F T T T T F Using the table above, write T(p, q, r) in disjunctive normal form. c) Is T(p. q.r) logically equivalent to (r)ApA qA) V). Justify your answer d) Using the disjunctive normal form of T(p, q, r) and a Karnaugh map (or using laws of logic), show that e) Draw the digital circuit for