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Q9. (a) The logic circuit shown in fig Q9(a) has THREE inputs A, B and C, and ONE output X, Produce EACH of the following for this circuit:

(i) an unsimplified Boolean expression for the outputs D, E and X in terms of the inputs A, B and C: (3)

(ii) the truth table, including columns for A, B, C, D, E, and X; (3)

(iii) the equivalent logic circuit using only NAND gates (crossing out and redundant gates). (6)

(b) Simplify, as fully as possible, the following Boolean expression:

(4)