What kind of Castings are involved in the Compiler Construction, mention it with their examples. Is the Castings would affect the process of Compiler ?

By using the Prefix Notation convert the following statement (9-4+1) in a Tree with
C. F.G. And also show their Process in the Table according to the situation.(CLO3)

7. 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 1, 2, or 3, the binary output should be one lesser than the input. when the input is 4, 5, or 6, the binary output should be one greater than the input. when the input is 0, the output is 0, and when the input is 7, the output is 7. show your truth table, all computations for simplification, and the final circuit.