Database System Concepts
Database System Concepts
7th Edition
ISBN: 9780078022159
Author: Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan
Publisher: McGraw-Hill Education
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## Exercise 11: Conversion from Infix to Reverse Polish (Postfix) Notation

Convert the following expressions from infix to reverse Polish (postfix) notation:

1. **a)** \((8 - 6)/2\)

2. **b)** \((2 + 3) \times 8/10\)

3. **c)** \(5 \times (4 + 3) \times 2 - 6\)

### Explanation

- **Infix Notation:** This is the common arithmetic and logical formula notation, where operators are written in-between their operands (e.g., \(A + B\)).

- **Postfix Notation (Reverse Polish Notation):** An alternative way of writing expressions without the need for parentheses. Operators follow their operands (e.g., \(AB+\)).

Your task is to rewrite each given expression in postfix notation.
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Transcribed Image Text:## Exercise 11: Conversion from Infix to Reverse Polish (Postfix) Notation Convert the following expressions from infix to reverse Polish (postfix) notation: 1. **a)** \((8 - 6)/2\) 2. **b)** \((2 + 3) \times 8/10\) 3. **c)** \(5 \times (4 + 3) \times 2 - 6\) ### Explanation - **Infix Notation:** This is the common arithmetic and logical formula notation, where operators are written in-between their operands (e.g., \(A + B\)). - **Postfix Notation (Reverse Polish Notation):** An alternative way of writing expressions without the need for parentheses. Operators follow their operands (e.g., \(AB+\)). Your task is to rewrite each given expression in postfix notation.
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Before proceeding further , we must know the basics.

Below is attached introduction for operators precedence and evaluation accordingly.

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