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Q9. (a) The logic circuit shown in Fig Q9(a) has three A, B and C, and one output X.

Produce EACH of the following for this circuit:

(i) a simplified Boolean expression for the outputs D, E and X in terms of the

Inputs A, B and C: (3)

(ii) the truth table, including collum’s for A, B, C, D, E and X: (3)

(iii) the simplest expression for X obtained in (i), by using Boolean algebra.

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

(i) the binary operation 1101101 – 1011010: (1)

(ii) the binary operation 101110 Χ 101: (2)

(iii) the conversion of 1011101101₂ to hexadecimal: (2)

(iv) the conversion of 2766₁₀  to hexadecimal. (2)