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Q9. (a) The truth table for a logic system with inputs A, B and C ' and output X, is shown in Table Q9(a).

Table Q9 (a)

Produce EACH of the following for the logic system:

(i) a Boolean expression in its simplest form; (4)

(ii) the logic circuit, with the minimum number of gates; (3)

(iii) the logic circuit, using only NANO gates (crossing out any redundant gates). (3)

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

(i) the binary operation 1001101 + 111101; (1)

(ii) the conversion of 10111100010₂ to hexadecimal; (1)

(iii) the conversion of CABI₁₆ to decimal; (2)

(iv) the hexadecimal operation BCE3 - A2DB. (2)