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

(i) the conversion of 85₁₀ to binary; (1)

(ii) the conversion of 2095₁₀ to hexadecimal; (2)

(iii) the value, in hexadecimal form, of DC₁₆ ÷ 101002 (3)

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

(i) produce the truth table for this circuit. (2)

(ii) simplify the expression for X as fully as possible, using a Karnaugh map or Boolean algebra. (4)

(c) Simplify the following expression as fully as possible;