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Reverse Polish Notation

Tool to write in Reverse Polish Notation RPN: a post-pifex notation which allows to write mathematical expression without parenthesis.

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Reverse Polish Notation -

Tag(s) : Arithmetics, Notation System

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# Reverse Polish Notation

## Reverse Polish Notation Writing

Tool to write in Reverse Polish Notation RPN: a post-pifex notation which allows to write mathematical expression without parenthesis.

### What is the Reverse Polish Notation? (Definition)

Reverse Polish notation (RPN) also called post-fixed notation, is a notation of arithmetic expressions where operands (numbers) are written before the operators (+, -, *, /) while avoiding the use of parentheses.

### How to write using Reverse Polish Notation?

The NPI notation displays operands before operators. This notation implies to write operands first and then the order of operations.

Example: a × (b + c) is written a b c + ×

The conversion algorithm into RPN is called the Shunting-yard method.

### Who uses Reverse Polish Notation?

The notation has the advantage that it no longer uses parentheses, reducing errors, and is sometimes faster than a normal calculation. RPN is also used in some programming languages like Forth, but also in HP calculators and in some scientific computations where the gain up and computation time can be interesting.