Design a combinational circuit with three inputs (X, Y, Z) and three outputs (A, B, C). When the triple (X,Y,Z) is taken as the 3-bit representation of a binary number, then (0,0,0) corresponds to 0, (0,0,1) to 1, (0,1,1) to 3, (1,0,1) to 5 and so on. Hence, X is the most significant bit while Z is the least significant bit. Similarly for the triple (A,B,C). When the binary input (X,Y,Z) 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.