more examples of reverse Polish notation

The following examples, presented first in standard infix notation, converted to reverse Polish notationMathworldPlanetmath by using the shunting yard algorithm, all use the same four operands but combined with different operators and parentheses. Operators are assumed to be binary.

(1+2)×(3+4) in standard infix notation becomes 12+34+× in reverse Polish notation. Both expressions should evaluate to 21, each in the appropriate calculator.

1+2×3+4 standard becomes 123×4+ RPN. Both evaluate to 11.

1+2×(3+4) turns to 1234+×+. Evaluate to 15.

(1+2)×3+4 is 12+3×4+. Evaluate to 13.

Title more examples of reverse Polish notation
Canonical name MoreExamplesOfReversePolishNotation
Date of creation 2013-03-22 16:10:19
Last modified on 2013-03-22 16:10:19
Owner Mravinci (12996)
Last modified by Mravinci (12996)
Numerical id 5
Author Mravinci (12996)
Entry type Example
Classification msc 03B70
Classification msc 68N17