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Q9. (a) The logic circuit in fig Q9(a) has two inputs A and B, and one output X.

Produce EACH of the following for this circuit:

(i) a Boolean expression for the outputs C, D and X; (3)

(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). (4)

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

(i) the binary operation 10111 X 1101; (2)

(ii) the hexadecimal operation: F7AD + CB9E; (2)

(iii) the conversion: D3BC₁₆ to decimal. (2)