Problem 2: Design a circuit that has three input signals A, B, and C and one output F.  The output is 1 if and only if the number of 1s in the input is odd.  For example F(0, 0, 0) is 0 and F(1,0, 0) is 1.  (a). Draw a truth table of the circuit, then (b) find a minimum SOP expression of the output F using a K-map  and (c) draw the circuit diagram.

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