For the following circuit design question, you must show the procedure of obtaining the truth-table, obtaining the simplified logic function using k-map, and drawing logic diagram

9. Design a combinational circuit with three inputs, x, y and z, and three outputs, A, B, and C. When the binary input is 0, 1, 2, or 3, the binary output is two greater than the input. When the binary input is 4, 5, 6, or 7, the binary output is three less than the input.