Reverse Polish notation Calculator (RPN)
| Mathematical expression with any functions |
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| The return Polish notation (RPN) of the set expression |
| Reverse Polish Notation (RPN) of a given expression |
For the first time I had to deal with Polish notation in the 80s, when I got into the hands of the programmable calculator MK-61. The lack of home computers at that time, and the great desire to write any program was such that it allowed us to master this notation with the help of a "scientific poke" and the journal "Science and Life", where small articles were written on the topic of programming on this calculator .
Reverse Polish notation - turned out to be a very popular tool in information systems.
The most important benefit of this notation is that the resulting expression does not have a single bracket . This greatly (!!) simplifies the calculation of arbitrary mathematical expressions and formulas with many nested brackets.
A distinctive feature of the reverse Polish notation is that the arguments come first, and then the operation itself for these arguments.
Unlike direct Polish notation, where the operands go first and then the values / arguments.
for example 
Why is this one called Polish? The fact is that the reverse Polish notation was invented on the basis of the usual Polish notation, which was proposed in 1920 by the Polish mathematician Jan Lukasevic.
This bot automatically converts an arbitrary expression into reverse Polish notation.
You can use this bot, both for studying or writing articles and essays, and using the ability to receive an answer in RPN format via JSON request to your services or sites.
What else to tell about him. Some readers questioned the correctness of the provision in the reverse Polish entry by providing an example.
})
and we get the answer 2 0 3 - ^
I would like to object to this, since it is impossible to represent a negative number in reverse Polish notation in principle, therefore such a trick is used. The correctness of this method is confirmed by the correctness of the calculation of all other calculators on this site, including the Universal complex numbers calculator online
Syntax
infixa expression
An expression can be any (!!) mathematical expression. The language in which the expression is written is not important here. You can write an expression in Ruby, PHP or Pascal.
An expression can use an unlimited number of functions.
Examples
Expression
*x-(y/2+15))
after the conversion becomes
An expression recorded in RPN format looks like this 4 5 + x * y 2/15 + -
*sin(4)+3)
Converts to
An expression recorded in RPN format looks like this 1 2 + 4 sin * 3 +
What is meant by Reverse Polish notation Calculator (RPN)?
Reverse Polish notation (RPN) is a mathematical notation in which operators follow their operands. For example, the expression "3 + 4" would be written as "3 4 + " in RPN.An RPN calculator reads a sequence of tokens in RPN notation from left to right. When it encounters a number, it pushes it onto a stack. When encountering an operator, it pops the top two values from the stack, applies the operator, and pushes the result back onto the stack. This process continues until the end of the expression is reached, at which point the final result is the only value left on the stack.
Here is an example of how an RPN calculator would evaluate the expression "3 4 + 5 *": The calculator reads the first token, "3," and pushes it onto the stack.
The calculator reads the next token, "4," and pushes it onto the stack.
The calculator reads the next token, "+," and pops the top two values from the stack (4 and 3), adds them together to get 7, and pushes the result (7) back onto the stack.
The calculator reads the next token, "5," and pushes it onto the stack.
The calculator reads the next token, "*," and pops the top two values from the stack (5 and 7), multiplies them together to get 35, and pushes the result (35) back onto the stack.
The calculator has reached the end of the expression, and the final result (35) is the only value left on the stack.
RPN calculators are often used in computing and engineering applications because they can be implemented easily using a stack data structure and efficiently evaluate complex expressions with many operators and operands.
Online RPN Calculators
There are many online RPN calculators available that you can use to perform calculations using reverse Polish notation. Here are a few examples:
- CalculatorSoup RPN Calculator: This simple RPN calculator allows you to enter expressions in RPN notation and get the result instantly. It supports basic operations such as addition, subtraction, multiplication, and division and more advanced functions like square roots and logarithms.
- Omni Calculator RPN Calculator: This more advanced RPN calculator supports various mathematical functions and constants. It also allows you to save your calculations and share them with others.
- RPN Calculator by P. Grabiec: This is a basic RPN calculator you can use in your web browser. It supports the four basic operations as well as square root and exponentiation.
- HP Calculator Emulator: This is an online emulator of the classic Hewlett-Packard calculators that were popular in the 1980s and 1990s. It supports RPN notation and a wide range of advanced functions.
- Reverse Polish Notation Calculator by Calculator.net: This simple RPN calculator supports the four basic operations, square root and exponentiation. It also allows you to enter expressions using parentheses to control the order of operations.
These are just a few examples of the many online RPN calculators available. You can search online for others that better suit your needs.
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