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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 Bollean expression for the outputs D and X in terms of the inputs A, B and C. (2)

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

(iii) the equivalent logic circuit using only NAND gates (crossing out any redundant gates). (5)

(b) Determine, without using a calculator conversion function, the value of EA₁₆ ÷ 10010, giving the answer in three forms: binary, hexadecimal and decimal. (6)