Question 2 [9 marks] 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: F F 1 F T F F T 1 T T F Using the table above, write T(p, q, r) in disjunctive normal form. c) Is T(p, q, ?) logically equivalent to-d(-q ? ?)a (-p ^ q ^ r)] v-r). 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