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Check out my friend's channel!The easiest way to go about calculating the result of an expression on the calculator is to force the calculation after the first operand ( +, =, x, / ). However, if we want to see our whole operation before we click the equal sign (i.e. 34 + 5 - 3 / 2) you have to go about it a different way. Namely, using the Reverse Polish notation and the Shunting Algorithm.
When using the reverse polish notation, you evaluate an expression such as (2 + 5) x 3 as 2 5 + 3 x. When using this notation, the operator symbol comes after the operands. Hence, when being evaluated by the computer (using a stack) we can tell the computer to evaluate what's inside the parenthesis first and then multiply (as dictates the order of operations)
This algorithm is the technical implementation to convert a regular (influx notation) to polish notation (postfix notation).
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