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

(i) Produce the truth table for this circuit; (3)

(ii) State a Boolean expression for X; (1)

(iii) State the type of logic gate which produces the same output as the circuit. (1)

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

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

(i) the value, in hexadecimal form, of FC₁₆ ÷ 10101₂  (5)

(ii) the conversion of BDAC₁₆ to decimal form. (2)