Shunting-yard Algorithm - A Simple Conversion

A Simple Conversion

Input: 3+4
  1. Add 3 to the output queue (whenever a number is read it is added to the output)
  2. Push + (or its ID) onto the operator stack
  3. Add 4 to the output queue
  4. After reading the expression pop the operators off the stack and add them to the output.
  5. In this case there is only one, "+".
  6. Output 3 4 +

This already shows a couple of rules:

  • All numbers are added to the output when they are read.
  • At the end of reading the expression, pop all operators off the stack and onto the output.

Read more about this topic:  Shunting-yard Algorithm

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