Design a circuit with three inputs (x,y, and z) representing the bits in a binary number, and three outputs (a,b, and c) also representing bits in a binary number. When the input is 0, 1, 2, or 3, the binary output should be one less than the input. When the binary input is 4, 5, 6, or 7, the binary output should be one greater than the input.
Show your truth table, all computations for simplification, and the final circuit.
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