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Question 3 (20 marks) (a) Define minterm and maxterm in Boolean functions. [4 marks] (b) The truth table of the function X is shown in Table 1 Table 1 A|B|C 0 0 0 (i) Write the Boolean expression for function X in maxterms. () Simplify function X. ) Draw the logic gates of the simplified function X. (iv) Explain the benefits of simplifying the Boolean functions for digital circuits. [5 marks] [5 marks] [3 marks] [3 marks]

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