Infix to Postfix Converter

Instructions: Enter an infix expression using letters (A-Z) or numbers (0-9) as operands and operators (+, -, *, /, ^). Use parentheses for grouping.

Examples: A+B*C, (A+B)*C-D, 3+4*2/(1-5)^2

Step-by-Step Conversion Process:

Operator Precedence:

  • ^ (Exponentiation) - Highest precedence
  • * / (Multiplication, Division)
  • + - (Addition, Subtraction) - Lowest precedence

This tool converts infix expressions into postfix notation. It is useful for students and programmers who work with mathematical expressions.

How to Use This Tool

  1. Type your infix expression into the text box. You can use letters A to Z or numbers 0 to 9. Use operators like +, -, *, /, and ^. Place parentheses when needed.

  2. Press the "Convert to Postfix" button.

  3. The tool will show you the converted expression and the steps taken during the conversion.

Understanding the Input

Your expression must have operands and operators. Letters or numbers act as operands. Operators change the order of operations. Parentheses help change the grouping of calculations.

Keep the input free from any extra spaces. The tool works best with well-formed expressions.

Interpreting the Output

The output shows the postfix expression. This notation lets computers evaluate the expression without extra parsing. A correct output means the conversion was completed.

You will also see a step-by-step process that explains each action.

Limitations and Special Notes

The tool accepts only letters, numbers, the operators +, -, *, /, and ^, and parentheses. It does not support other characters.

If you enter an invalid expression, you get an error message. Check your input and try again.

Common Use Cases

Students use this tool to learn about expression evaluation. Programmers use it for quick checks of their algorithms. It also helps in academic studies and computer science assignments.

Why Postfix Notation?

Postfix notation removes the need for parentheses. It simplifies the process for machines to calculate expressions. This method has long been used in computer science.

Examples of Infix Expressions

Final Thoughts

This infix to postfix converter is simple and effective. Try entering an expression to see how the conversion works. Explore the steps to learn more about the process. You may also check related tools on expressions, logic, or computer science.