Stack Applications and Algebraic Expressions

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Questions and Answers

What is one common application of stacks in arithmetic operations?

Checking the validity of an arithmetic expression (correct)

Finding the maximum value in an array

Searching for an element in a binary tree

Sorting a list of numbers

What does the infix expression 'A + B * C' convert to in postfix notation?

AB*C+ (correct)

A+B*C

AB+C*

ABC*+

What property of stacks allows for the reversal of data?

FIFO (First In, First Out)

Random access

LIFO (Last In, First Out) (correct)

Sequential access

Which of the following is NOT a method to evaluate expressions using stacks?

Evaluating infix expressions directly Signup and view all the answers

Given the infix expression '(D - A)^F', what would be the postfix equivalent?

DA-F^ Signup and view all the answers

When reversing a string using a stack, what is the first operation performed on the stack?

Push the first character of the string onto the stack Signup and view all the answers

What is the correct postfix notation for the expression '100 200 + 2 / 5 * 7 +'?

100200+2/5*7+ Signup and view all the answers

In the context of stacks, what does LIFO stand for?

Last In, First Out Signup and view all the answers

What is a primary function of a deque?

Insert and remove items from both ends Signup and view all the answers

What happens when you try to insert an item into a full linear queue?

An overflow message is displayed Signup and view all the answers

A circular queue can lead to a 'Queue overflow' state even if there are deleted elements from the front.

True Signup and view all the answers

In a circular queue, the last node points to the first node creating a circular structure.

True Signup and view all the answers

What is the primary operation that occurs at the front of a simple queue?

Dequeue Signup and view all the answers

What is the main drawback of a linear queue?

It cannot add new elements once it's full, even if space is freed by deletions. Signup and view all the answers

In a circular queue, the _____ is the location for inserting new elements.

Rear Signup and view all the answers

A __________ queue is used in situations where items are processed based on their priority.

priority Signup and view all the answers

Match the following queue types with their characteristics:

Linear Queue = Can't reuse space after deletion Circular Queue = Resets positions when elements are deleted Deque = Allows insertion and deletion from both ends Priority Queue = Processes elements based on priority Signup and view all the answers

What condition indicates that a circular queue is full?

Front = 0 and Rear = n - 1 or Front = Rear + 1 Signup and view all the answers

Which type of queue allows insertion and deletion from both ends?

Double-Ended Queue Signup and view all the answers

In a circular queue, the front index is always less than the rear index.

False Signup and view all the answers

Which of these is NOT a common application of queues?

Sorting algorithms Signup and view all the answers

In a priority queue, items are dequeued strictly in the order they arrive.

False Signup and view all the answers

The front of a queue is where new elements are added.

False Signup and view all the answers

What operation must be performed when the front index reaches the end of a circular queue?

The front index wraps around to 0. Signup and view all the answers

Name one application of a circular queue.

Traffic signal control Signup and view all the answers

Match each type of queue with its characteristic:

Simple Queue = FIFO (First-In, First-Out) principle Circular Queue = Last node points to first node Priority Queue = Dequeued based on priority Double-Ended Queue = Insertion and deletion at both ends Signup and view all the answers

In a circular queue, if the rear index reaches the maximum size of the queue, it wraps around to index _____ once it is incremented.

0 Signup and view all the answers

What happens when the rear of a circular queue reaches its maximum size?

It leads to a queue overflow unless the front has moved forward. Signup and view all the answers

Match the following operations with their descriptions in a circular queue:

Insert = Add an element at the rear index Delete = Remove an element from the front index Full Condition = When front = rear + 1 or front = 0 and rear = n - 1 Empty Condition = When front = -1 Signup and view all the answers

After inserting an element in a circular queue, which of the following statements is true?

The rear index is incremented to point to the new element. Signup and view all the answers

What is one disadvantage of using a linear queue compared to a circular queue?

A linear queue can waste space due to the fixed front position after deletions. Signup and view all the answers

In a circular queue, the rear index can overwrite elements in the queue when it is full.

False Signup and view all the answers

Study Notes