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Q9. (a) Determine EACH of the following, without using a calculator conversion function

(i) The binary operation 11011 x 1011 (2)

(ii) The hexadecimal operation FACE + B4AD (2)

(iii) The conversion of BD9E₁₆ to decimal (2)

(b) The logic circuit shown in Fig.Q9(b) 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 X; (4)

(ii) The truth table, by simplifying as fully as possible the Boolean expression obtained for X in(b) (i), or otherwise; (4)

(iii) The equivalent circuit with the minimum number of gates. (2)