Infix to Postfix Converter

This infix to postfix converter turns an infix expression into postfix form fast. It also shows a clean step list for every move.

How It Works

The converter scans your input from left to right. It sends operands to the output and places operators on a stack. Parentheses push and pop the stack to keep the right order.

Operator precedence drives each decision. Power has the highest level. Multiply and divide come next. Add and subtract come last. Power is right associative, the others are left associative. That means A^B^C converts to ABC^^.

How to Use This Tool

1. Enter Your Expression

Type your infix expression in the Infix Expression field.

• Use letters A to Z and digits 0 to 9.
• Use multi digit numbers like 123.
• Allowed operators are + - * / ^.
• Use parentheses to group parts.
• Spaces are fine.
• Use integers only.
• Place one operator between operands.
• Balance each opening parenthesis with a closing parenthesis.
• For negative values, write 0-3 instead of -3.

2. Hit Convert

Click Convert to run the infix to postfix converter on your input.

3. See the Postfix Output

You will see the infix input and the postfix result. The postfix string uses a compact format. Spaces are omitted to keep it tight. Operators appear after their operands. Parentheses drop out because the order lives in the sequence.

• A+B*C becomes ABC*+.
• (A+B)*C-D becomes AB+C*D-.
• (A+B)*(C-D) becomes AB+CD-*.
• A^B^C becomes ABC^^.
• 3+4*2/(1-5)^2 becomes 342*15-2^/+.

Use the step list to follow each action. You will see the output and the operator stack after every read.

Why Use This Converter?

Postfix, also called Reverse Polish Notation, places the operator after its operands. It drops parentheses and encodes order by position. This makes evaluation simple with a stack.

• Study expression parsing for class or self study.
• Check homework or quiz prep with quick feedback.
• Prototype a calculator that uses postfix evaluation.
• Create test cases for compiler or interpreter projects.
• Prepare for coding interviews that cover stacks and parsing.

This infix to postfix converter helps you learn the rules by example. You type, convert, and inspect each step.

Benefits at a Glance

You get fast results with clear steps and helpful checks. The converter supports multi digit numbers and standard operators. It handles balanced parentheses and precedence with care.

• Instant postfix output from any valid infix expression.
• Readable step list with output and stack snapshots.
• Operator precedence set as ^, then * and /, then + and -.
• Right associative power and left associative others.
• Space tolerant input for easier typing.
• Input checks for invalid symbols and sequence issues.

Keep these notes in mind for smooth results.

• Use integers only, decimal points cause an error.
• Stick to these operators only, + - * / ^.
• Write one operator between operands to avoid errors.
• Balance every pair of parentheses before converting.
• The final postfix string prints without spaces by design.

Final Thoughts

This infix to postfix converter gives fast, clear, and trustworthy conversions. Try a few examples and read the steps. You will grasp postfix rules in minutes and feel confident with your next expression.