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Q9. (a) The dimensions, in binary form. Of a cubical are shown in Fig Q9(a). Working in binary form, without using calculator, determine EACH of the following for the cuboid:

(i) its volume; (3)

(ii) a quarter of its volume. (3)

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

Determine EACH of the following for this circuit:

(i) the truth table; (4)

(ii) a Boolean expression; (2)

(iii) an equivalent circuit drawn using only two gates. (4)