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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)

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

(c) Determine EACH of the following, without using a calculator conversion function:

(i) The binary operation; 11001 x 1011; (2)

(ii) The hexadecimal operation; DF8A + BCE9; (2)

(iii) The conversion of FA2E₁₆ to decimal. (2)