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Q9 (a) Determine EACH of the following, without using calculator conversion function.

(i) the binary operation 11011 x 1011. (2)

(ii) the hexadecimal operation BC7E – 9ADF. (1)

(iii) the conversion of DC4B₁₆ to decimal; (2)

(iv) the conversion of 1110111111₂ to hexadecimal. (1)

(b) A logic circuit behaves according to the Boolean expression:

(i) without simplification, draw the circuit diagram for the expression using only XOR, NAND and NOR gates. (3)

(ii) simplify the expression as fully as possible. (4)

(c) Simplify the following Boolean expression as fully as possible: