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

Produce EACH of the following for this circuit

(i) An unsimplified Boolean expression for the output of EACH gate in terms of the inputs A, B and C (4)

(ii) The truth table, including columns for A, B, C, D, E, F and X. (4)

(iii) The equivalent logic circuit using only NAND gates (crossing out any redundant gates) (4)

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

(i) The conversion operation of 7882₁₀ to hexadecimal (2)

(ii0,) The hexadecimal operation FAB7 - AC2B. (2)