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(a) Design a circuit that counts the number of 0's present in 3 inputs A, B, and C. Its output is a two-bit number which

(a) Design a circuit that counts the number of 0's present in 3 inputs A, B, and C. Its output is a two-bit number which is X, and Xo, representing that count in binary.

(i) Construct the truth table for this circuit.

(ii) Find the minimized logic equations for output Xi and Xo. Use the Karnaugh map and Boolean algebra to simplify the expressions.

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