### Converting Infix to Postfix Expression#### Problem Statement:We have an infix expression: `3 * 5 + 2 - (6 + 3 / 3)`. In this context, `+` and `-` operators have higher precedence than `*` and `/`. Our goal is to convert this expression from infix to postfix notation. We will document each step in the table below. For each step, indicate the action taken, and show the contents of the stack and the postfix expression at that point. Note that popping an element off the stack and appending it to the postfix expression counts as one step.#### Initial Setup:- **Action:** Add `3` to postfix.- **Stack:** (empty)- **Postfix:** `3`#### Table for Step-by-Step Conversion:| **Action** | **Stack** | **Postfix** ||--------------------------|-----------|-------------|| | | || | | || | | || | | || | | || | | || | | || | | || | | |#### Instructions:Continue filling out the table by examining each symbol in the expression and following these rules:1. **Operands:** Immediately add to the postfix expression.2. **Operators:** Pop from the stack to postfix if the stack's top element has higher or equal precedence, otherwise push onto the stack.3. **Parentheses:** Handle them to ensure correct order of operations.Complete the table to convert the entire infix expression to postfix. Finally, evaluate the postfix expression to determine the integer result. Write your final result below the table to conclude the exercise.

3. Suppose+and - have HIGHER PRECEDENCE than * and /, and that you have the following infix expression: 3* 5+2 - (6 + 3/3) Convert the expression from infix to postfix. Fill out the table, showing each step you take. List the action of each step and show the contents of the stack and postfix expression after completing the action. The first step is done for you. Popping an element off the stack and appending it to the postfix expression is one step. Action Add 3 to postfix. Stack (empty) Evaluate the postfix expression to produce the final integer result. Postfix 3

3. Suppose+and - have HIGHER PRECEDENCE than * and /, and that you have the following infix expression: 3* 5+2 - (6 + 3/3) Convert the expression from infix to postfix. Fill out the table, showing each step you take. List the action of each step and show the contents of the stack and postfix expression after completing the action. The first step is done for you. Popping an element off the stack and appending it to the postfix expression is one step. Action Add 3 to postfix. Stack (empty) Evaluate the postfix expression to produce the final integer result. Postfix 3

Database System Concepts

7th Edition

ISBN:9780078022159

Author:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan

Publisher:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan

Chapter1: Introduction

Section: Chapter Questions

Problem 1PE

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Question

### Converting Infix to Postfix Expression

#### Problem Statement:
We have an infix expression: `3 * 5 + 2 - (6 + 3 / 3)`. In this context, `+` and `-` operators have higher precedence than `*` and `/`.

Our goal is to convert this expression from infix to postfix notation. We will document each step in the table below. For each step, indicate the action taken, and show the contents of the stack and the postfix expression at that point. Note that popping an element off the stack and appending it to the postfix expression counts as one step.

#### Initial Setup:
- **Action:** Add `3` to postfix.
- **Stack:** (empty)
- **Postfix:** `3`

#### Table for Step-by-Step Conversion:

| **Action** | **Stack** | **Postfix** |
|--------------------------|-----------|-------------|
| | | |
| | | |
| | | |
| | | |
| | | |
| | | |
| | | |
| | | |
| | | |

#### Instructions:
Continue filling out the table by examining each symbol in the expression and following these rules:
1. **Operands:** Immediately add to the postfix expression.
2. **Operators:** Pop from the stack to postfix if the stack's top element has higher or equal precedence, otherwise push onto the stack.
3. **Parentheses:** Handle them to ensure correct order of operations.

Complete the table to convert the entire infix expression to postfix. Finally, evaluate the postfix expression to determine the integer result. Write your final result below the table to conclude the exercise.

Expert Solution

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We have to evaluate the postfix expression to find the final integer.

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