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Learning objective

Reverse Polish – infix transformations: Be able to convert simple expressions in infix form to Reverse Polish notation (RPN) form and vice versa. Be aware of why and where it is used. Eliminates need for brackets in sub- expressions. Expressions in a form suitable for evaluation using a stack. Used in interpreters based on a stack for example Postscript and bytecode. 52

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Reverse Polish

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Reverse Polish – infix transformations

Aqa A Level Computer ScienceFundamentals of algorithms

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Quick explanation

Reverse Polish – infix transformations: Be able to convert simple expressions in infix form to Reverse Polish notation (RPN) form and vice versa. Be aware of why and where it is used. Eliminates need for brackets in sub- expressions. Expressions in a form suitable for evaluation using a stack. Used in interpreters based on a stack for example Postscript and bytecode. 52

  • This point belongs to Reverse Polish, especially Reverse Polish – infix transformations.
  • You need to be able to reverse Polish – infix transformations: Be able to convert simple expressions in infix form to Reverse Polish notation (RPN) form and vice versa. Be aware of why and where it is used. Eliminates need for brackets in sub- expressions. Expressions in a form suitable for evaluation using a stack. Used in interpreters based on a stack for example Postscript and bytecode. 52.
  • Use the linked flashcards and practice questions to check recall, then practise applying the idea in an exam-style answer.

Why it matters

This objective helps connect Reverse Polish – infix transformations to exam-style questions, flashcards, and revision notes for Reverse Polish.

Quick student answer

What is the Reverse Polish notation (RPN) form of the infix expression A + B * C?

Direct answer

ABC*+

Key terms

  • Reverse Polish notation (RPN): A form of expression in which operators are written after the operands they use.
  • Stack-based interpreter: An interpreter that evaluates expressions using a stack to store operands and intermediate results.

Common trap

Placing an operator before its operands: Place the operator after its operands: A+B becomes AB+.

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