In a ternary number system there are three digits: 0, 1, and 2. Figure P3.3 defines a

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In a ternary number system there are three digits: 0, 1, and 2. Figure P3.3 defines a ternary half-adder. Design a circuit that implements this half-adder using binary-encoded signals, such that two bits are used for each ternary digit. Let A = a1a0, B = b1b0, and Sum = s1s0; Carry is just a binary signal. Use the following encoding: 00 = (0)3, 01 = (1)3, and 10 = (2)3. Minimize the cost of the circuit.

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