JavaScript: Reverse Polish notation in mathematical expression

JavaScript Math: Exercise-70 with Solution

Write a JavaScript program to apply reverse Polish notation to a given mathematical expression.

From Wikipedia -
Reverse Polish notation (RPN), also known as reverse Łukasiewicz notation, Polish postfix notation or simply postfix notation, is a mathematical notation in which operators follow their operands, in contrast to Polish notation (PN), in which operators precede their operands. It does not need any parentheses as long as each operator has a fixed number of operands. The description "Polish" refers to the nationality of logician Jan Łukasiewicz, who invented Polish notation in 1924.

Sample Data:
"5 8 *" -> 40
"5 6 + 2 *" -> 22
"5 3 4 * +" -> 17

Sample Solution:

HTML Code:

<!DOCTYPE html>
  <meta charset="utf-8">
  <title>JavaScript function to reverse Polish notation in mathematical expression</title>


JavaScript Code:

const RPN_calculation = (math_expr) => {
  const operators = {
    '+': (x, y) => x + y,
    '-': (x, y) => x - y,
    '*': (x, y) => x * y,
    '/': (x, y) => y / x
  const expr_part = math_expr.split(' ')
  const data = []

  expr_part.forEach((expr_part) => {
    const operator = operators[expr_part]
    if (typeof operator === 'function') 
      const x = data.pop()
      const y = data.pop()
      const result = operator(x, y)
  return data.pop()
console.log(RPN_calculation("5 8 *"))
console.log(RPN_calculation("5 6 + 2 *"))
console.log(RPN_calculation("5 3 4 * +"))

Sample Output:



JavaScript Math flowchart of reverse Polish notation in mathematical expression

Live Demo:

See the Pen javascript-math-exercise-70 by w3resource (@w3resource) on CodePen.

Improve this sample solution and post your code through Disqus

Previous: Find all prime numbers below a given number.
Next: All prime factors of a given number.

What is the difficulty level of this exercise?

Test your Programming skills with w3resource's quiz.

Follow us on Facebook and Twitter for latest update.

JavaScript: Tips of the Day

Spread operator

const user = { name: 'Owen', age: 21 };
const admin = { admin: true, ...user };


It's possible to combine objects using the spread operator .... It lets you create copies of the key/value pairs of one object, and add them to another object. In this case, we create copies of the user object, and add them to the admin object. The admin object now contains the copied key/value pairs, which results in { admin: true, name: "Owen", age: 21 }.

Ref: https://bit.ly/323Y0P6


We are closing our Disqus commenting system for some maintenanace issues. You may write to us at reach[at]yahoo[dot]com or visit us at Facebook