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

Produce EACH of the following for this expression:

(i) A logic circuit, using only AND, OR and NOT gates: (4)

(ii) the equivalent circuit diagram to that obtained in (i), using only NAND gates. (4)

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

(i) the conversion of 87₁₀  to bibary: (2)

(i) the conversion of 101101101111: to hexadecimal: (2)

(iii) the conversion of BD4E₁₆  to decimal: (2)

(iv) the hexadecimal operation DA5C – ABCD. (2)