### Postfix Expression Evaluation Using Stack ADTAn application of the Stack ADT (Abstract Data Type) is the evaluation of postfix expressions. The following is a pseudocode algorithm for the postfix expression evaluation:1. **Scan the given postfix expression.**2. **For each symbol in the postfix expression:** - If the symbol is an operand, push its value onto a stack (Stack S). - If the symbol is an operator, perform the following steps: - Pop the top value from the stack; assign it to `operand2`. - Pop the next top value from the stack; assign it to `operand1`. - Apply the operator to `operand1` and `operand2` (i.e., compute `operand1 op operand2`). - Push the result back onto the stack.3. **Return the value that is on the top of the stack.**#### Pseudocode:```scan given postfix expression;for each symbol in postfix if operand then push its value onto a stack S; if operator then { pop operand2; pop operand1; apply operator to compute operand1 op operand2; push result back onto stack S; }return value at top of stack;```#### Example:Evaluate the following postfix expression: `6 5 3 + 2 12 * + 5 % +`To solve this expression using the stack algorithm:1. **Scan** `6` and push to the stack. Stack: `[6]`2. **Scan** `5` and push to the stack. Stack: `[6, 5]`3. **Scan** `3` and push to the stack. Stack: `[6, 5, 3]`4. **Scan** `+` (operator); pop `3` and `5`, compute `5 + 3 = 8`, then push the result `8` back to the stack. Stack: `[6, 8]`5. **Scan** `2` and push to the stack. Stack: `[6, 8, 2]`6. **Scan** `12` and push to the stack. Stack: `[6, 8, 2, 12]`7. **Scan** `*` (operator); pop `12` and `2`,

According to postfix expression pseudcode When there is operand then push value of operand into…

Recall that an application of the Stack ADT is postfix expression evaluation. As a reminder, here is pseudocode for the algorithm: scan given postfix expression; for each symbol in postfix if operand then push its value onto a stack S; if operator then ( pop operand2; pop operand1; apply operator to compute operand1 op operand2; push result back onto stack S; return value at top of stack; Evaluate the following postfix expression: 6 5 3 + 2 12 5 % +

Recall that an application of the Stack ADT is postfix expression evaluation. As a reminder, here is pseudocode for the algorithm: scan given postfix expression; for each symbol in postfix if operand then push its value onto a stack S; if operator then ( pop operand2; pop operand1; apply operator to compute operand1 op operand2; push result back onto stack S; return value at top of stack; Evaluate the following postfix expression: 6 5 3 + 2 12 5 % +

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

See similar textbooks

Related questions

Q: Suppose the following operations were performed on an empty stack:pus h(8);pus h(?);pop();push…

A: GIVEN: Suppose the following operations were performed on an empty stack:pus h(8);pus…

Q: ches successive pairs of numbers starting at the bottom of the stack. For example, if the stack…

A: The code defines two functions: first_switch_pairs and second_switch_pairs, both of which take a…

Q: Write a structure to represent a Node in a singly linked-list-based stack similar to the one…

A: Code: #include<stdio.h>#include<stdlib.h>struct Node{ int value; struct Node…

Q: A SpecialStackTM is a stack modified to support the following two operations: PUSHCLEAR(v)…

A: For the above statment for stack(a) Describe the ordering of values on the stack. (b) Explain how a…

Q: ou may only operate on the stacks WORK and TEMP, supporting their ADT operations of PUSH (S, X), POP…

A: i) To determine the least element that was pushed into the WORK stack, you can use a single variable…

Q: Recall that an application of the Stack ADT is postfix expression evaluation. As a reminder, here is…

Q: Write a program to implement the algorithm for evaluating postfix expressions that involve only…

A: The program is implemented in C++ with a structured approach. For making the stack ADT we have used…

Q: Implement a stack as an array of int[100] and an int variable top top is initialized to -1 (which…

A: In this given C , we need to create the following function : push(x) -> push x to the top of…

Q: How would you design a stack which, in addition to push and pop, also has a function min which…

A: As the programming language is not mentioned here, we are using JAVA The JAVA code is given below…

Question

### Postfix Expression Evaluation Using Stack ADT

An application of the Stack ADT (Abstract Data Type) is the evaluation of postfix expressions. The following is a pseudocode algorithm for the postfix expression evaluation:

1. **Scan the given postfix expression.**
2. **For each symbol in the postfix expression:**
- If the symbol is an operand, push its value onto a stack (Stack S).
- If the symbol is an operator, perform the following steps:
- Pop the top value from the stack; assign it to `operand2`.
- Pop the next top value from the stack; assign it to `operand1`.
- Apply the operator to `operand1` and `operand2` (i.e., compute `operand1 op operand2`).
- Push the result back onto the stack.
3. **Return the value that is on the top of the stack.**

#### Pseudocode:
```
scan given postfix expression;
for each symbol in postfix
if operand
then push its value onto a stack S;
if operator
then {
pop operand2;
pop operand1;
apply operator to compute operand1 op operand2;
push result back onto stack S;
}
return value at top of stack;
```

#### Example:
Evaluate the following postfix expression: `6 5 3 + 2 12 * + 5 % +`

To solve this expression using the stack algorithm:
1. **Scan** `6` and push to the stack.

Stack: `[6]`

2. **Scan** `5` and push to the stack.

Stack: `[6, 5]`

3. **Scan** `3` and push to the stack.

Stack: `[6, 5, 3]`

4. **Scan** `+` (operator); pop `3` and `5`, compute `5 + 3 = 8`, then push the result `8` back to the stack.

Stack: `[6, 8]`

5. **Scan** `2` and push to the stack.

Stack: `[6, 8, 2]`

6. **Scan** `12` and push to the stack.

Stack: `[6, 8, 2, 12]`

7. **Scan** `*` (operator); pop `12` and `2`,

Expert Solution

This question has been solved!

Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.

SEE SOLUTION Check out a sample Q&A here

Step 1

VIEW

Step 2

VIEW

Step by step

Solved in 2 steps with 1 images

SEE SOLUTION Check out a sample Q&A here

Knowledge Booster

Learn more about

Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, computer-science and related others by exploring similar questions and additional content below.

Similar questions

You are allowed to operate on a stack WORK and a temporary stack TEMP (ifneeded) supporting their ADT operations of PUSH (S,X), POP (S, X) andEMPTYSTACK (S) only, where X represents an element/variable to be pushed in orpopped out of the stack and S represents a stack. You are also permitted to use onevariable if needed to carry out the operations.i) Given n distinct random numbers that are to be pushed into WORK, how canyou find the minimum element that was pushed into it? You are permitted to use alone variable.ii) Given n distinct random numbers that are to be pushed into WORK, how canyou find the maximum element that was pushed into it, all the while ensuring thatthe elements stored in WORK are in their descending order with the maximumelement beginning at the bottom of stack? You are permitted to use a lone variableand a temporary stack TEMP.iii) Given an array A[1: n] of distinct random numbers how can you obtain thesorted list in the array, making use of stacks alone?
Question 8 Please explain your answers
Project Overview: This project is for testing the use and understanding of stacks. In this assignment, you will be writing a program that reads in a stream of text and tests for mismatched delimiters. First, you will create a stack class that stores, in each node, a character (char), a line number (int) and a character count (int). This can either be based on a dynamic stack or a static stack from the book, modified according to these requirements. I suggest using a stack of structs that have the char, line number and character count as members, but you can do this separately if you wish.Second, your program should start reading in lines of text from the user. This reading in of lines of text (using getline) should only end when it receives the line “DONE”.While the text is being read, you will use this stack to test for matching “blocks”. That is, the text coming in will have the delimiters to bracket information into blocks, the braces {}, parentheses (), and brackets [ ]. A string…
You are given a mathematical expression in postfix notation (RPN). During the postfix expression evaluation algorithm, enter the value that would be at the bottom of the stack after processing the 6th token on the following input: 372-+ 6 * (Note this is not about expression trees, this is just the stack-based algorithm for evaluating a post fix expression.)
Given a stack, a function is consecutive takes a stack as a parameter and thatreturns whether or not the stack contains a sequence of consecutive integersstarting from the bottom of the stack (returning true if it does, returningfalse if it does not). For example:bottom [3, 4, 5, 6, 7] topThen the call of is_consecutive(s) should return true.bottom [3, 4, 6, 7] topThen the call of is_consecutive(s) should return false.bottom [3, 2, 1] top The function should return false due to reverse order. Note: There are 2 solutions:first_is_conse cutive: it uses a single stack as auxiliary storagesecond_is_cons ecutive: it uses a single queue as auxiliary storage