dCode is free and its tools are a valuable help in games, maths, geocaching, puzzles and problems to solve every day! A suggestion ? a feedback ? a bug ? an idea ? Write to dCode!

Reverse Polish notation (RPN) also called post-fixed notation, is a mathematic notation of arithmetic expressions where operands (numbers) are written before the operators (+, -, *, /) while avoiding the use of parentheses. The RPN is primarily adapted to a technical computer / electronic use, and has the characteristic of 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.

Source code

dCode retains ownership of the online "Reverse Polish Notation" source code. Except explicit open source licence (indicated CC / Creative Commons / free), the "Reverse Polish Notation" algorithm, the applet or snippet (converter, solver, encryption / decryption, encoding / decoding, ciphering / deciphering, translator), or the "Reverse Polish Notation" functions (calculate, convert, solve, decrypt / encrypt, decipher / cipher, decode / encode, translate) written in any informatic language (Python, Java, PHP, C#, Javascript, Matlab, etc.) and all data download, script, copy-paste, or API access for "Reverse Polish Notation" are not public, same for offline use on PC, tablet, iPhone or Android ! Remainder : dCode is free to use.

Need Help ?

Please, check our dCode Discord community for help requests! NB: for encrypted messages, test our automatic cipher identifier!

Questions / Comments

Thanks to your feedback and relevant comments, dCode has developed the best 'Reverse Polish Notation' tool, so feel free to write! Thank you!

Thanks to your feedback and relevant comments, dCode has developed the best 'Reverse Polish Notation' tool, so feel free to write! Thank you!