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 0,1,6, or 7, the binary output will be the complement of the input.  When the binary input 2,3,4, or 5 the output is the input shifted left with rotate.

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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 0,1,6, or 7, the binary output will be the complement of the input.  When the binary input 2,3,4, or 5 the output is the input shifted left with rotate.  For example:  3 = 011₂  outputs 110; 4 = 100₂  outputs 001.)  Show truth table, computation, simplification and final circuit.

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