To convert the infix notation "A * (B + C / D) - E / F" to postfix notation, we can use the following steps:
- Create an empty stack and an empty output list.
- Iterate through each symbol in the infix notation from left to right.
- If the symbol is an operand (e.g. A, B, C, D, E, F), add it to the output list.
- If the symbol is an opening parenthesis (i.e. "("), push it onto the stack.
- If the symbol is a closing parenthesis (i.e. ")"), pop symbols off the stack and add them to the output list until an opening parenthesis is found. Discard the opening parenthesis.
- If the symbol is an operator (e.g. "*", "/", "+", "-"), pop operators off the stack and add them to the output list until a lower-precedence operator is found or the stack is empty. Then push the new operator onto the stack.
- After all symbols have been processed, pop any remaining operators off the stack and add them to the output list.
Using these steps, we can convert the infix notation "A * (B + C / D) - E / F" to the following postfix notation:
ABCD / + * EF / -
Therefore, the postfix notation for the given infix notation is "ABCD / + * EF / -".