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Q9. (a) A logic circuit behaves according to the Boolean expression:

Produce EACH of the following for the logic system:

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

(ii) the logic circuit, using only AND, OR and NOT gates; (3)

(iii) the equivalent circuit diagram to that obtained in (ii), using only NAND gates (crossing out any redundant gates). (3)

(b) Determine, without using a calculator conversion function, the value of

* binary

* hexadecimal

*decimal. (6)