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

(i) the hexadecimal operation AD9C – FE8; (2)

(ii) the conversion of 1101011₂ to decimal;(1)

(iii) the conversion of 4B7₁₆ to binary. (1)

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

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

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

(c) Simplify, as fully as possible, EACH of the following Boolean expression: