Final answer:
The question is about writing a C++ program to convert an infix expression like (A+B)*(C-D) to postfix notation. The program must handle different operands with the operators +, -, *, and /, as well as parentheses. The implementation involves using a stack, following operator precedence and parentheses management.
Step-by-step explanation:
The question asked is about converting an expression from infix notation to postfix notation using a C++ program. In the given expression, (A+B)*(C-D), operators and operands are arranged in the conventional order, whereas, in postfix notation, the operators follow their operands. To write a program that performs this conversion, one would typically code a flowchart that performs the following tasks: Scan the infix expression from left to right. Use a stack to temporarily hold operators and ensure the correct precedence and associativity. Output the operands (letters) as they arrive. When an operator arrives, pop operators from the stack that have greater or equal precedence and append them to the output, then push the current operator onto the stack. Handle parentheses by pushing them onto the stack and popping them when a matching right parenthesis is encountered, outputting the stack operators until the corresponding left parenthesis is popped.
After the expression is fully scanned, pop any remaining operators from the stack and append them to the output. This program enables the grader to input a custom infix expression in a similar format which will be converted to postfix notation. The key elements to ensure proper conversion include the implementation of a stack data structure, an understanding of operator precedence, and management of parentheses.