10. A combinational circuit has three inputs a,b,c and three outputs x.y.z. When the binary input is 0,1,2, or 3, the binary output is one greater than the input. When the binary input is 4,5,6 or 7, the binary output is one less than the input. For example, when abc-000, xyz 001; ...; when abc-111, xyz 110. Write the truth table for the circuit, obtaine the minimized functions and implement the circuit