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Convert Infix to Postfix Notation Algorithm

Learn how to convert mathematical expressions from standard (infix) notation to Reverse Polish Notation (RPN) efficiently with clear steps and examples.

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Convert Infix to Postfix Notation Algorithm

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  1. 中置記法（IN）　→　後置記法（RPN） 例）　1 + 2 * 3 - 4 数字はstAへ 演算子はstBへ stA stB

  2. 中置記法（IN）　→　後置記法（RPN） 例）　1 + 2 * 3 - 4 stA stB 1

  3. 中置記法（IN）　→　後置記法（RPN） 例）　1+ 2 * 3 - 4 stA stB 1 +

  4. 中置記法（IN）　→　後置記法（RPN） 例）　1+2 * 3 - 4 stA stB 2 1 +

  5. 中置記法（IN）　→　後置記法（RPN） 例）　1+2* 3 - 4 priority(“*”) > priority(“+”) * stA stB 2 * 1 +

  6. 中置記法（IN）　→　後置記法（RPN） 例）　1+2*3 - 4 stA stB 3 2 * 1 +

  7. 中置記法（IN）　→　後置記法（RPN） 例）　1+2*3- 4 priority(“-”) < priority(“*”) priority(“-”) = priority(“+”) - + * stA stB 3 2 * 1 - +

  8. 中置記法（IN）　→　後置記法（RPN） 例）　1+2*3-4 4 + * stA stB 3 2 1 -

  9. 中置記法（IN）　→　後置記法（RPN） 例）　1+2*3-4 stB: -，4，+，*，3，2，1 ※ RPNの逆順にsortされている 1個ずつ取り出す 1 4 2 + 3 * * stA stB 3 + 2 4 1 -

  10. 中置記法（IN）　→　後置記法（RPN） 例）　1+2*3-4 ↓ 1 2 3 * + 4 - 1個ずつ取り出す 1 2 3 * stB + 4 -

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