Stack Operations and Implementation
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Questions and Answers

What is the result of evaluating the postfix expression '7 4 -3 * 1 5 + / *'?

  • -2
  • 5 (correct)
  • 7
  • -14
  • In postfix evaluation, you pop operands from the stack before applying an operator.

    True

    What do you do when you encounter an operator during postfix evaluation?

    Pop operands from the stack, evaluate the operator, and push the result back to the stack.

    In postfix notation, the expression '10 2 8 * +' results in _____ after processing all numbers.

    <p>18</p> Signup and view all the answers

    Match the following terms with their definitions:

    <p>Infix = An expression where operators are placed between operands. Postfix = An expression where operators are placed after operands. Stack = A data structure that follows Last In, First Out (LIFO) principle. Operator = A symbol that represents a computation or operation.</p> Signup and view all the answers

    What does LIFO stand for in relation to stacks?

    <p>Last-In, First-Out</p> Signup and view all the answers

    Items removed from a stack are done so in the same order they were inserted.

    <p>False</p> Signup and view all the answers

    Name one basic operation that can be performed on a stack.

    <p>push, pop, peek, isEmpty, or size</p> Signup and view all the answers

    To add an element to the top of the stack, the operation performed is called __________.

    <p>push</p> Signup and view all the answers

    Match the following stack operations with their descriptions:

    <p>push = Examine the element at the top of the stack pop = Remove an element from the top of the stack peek = Add an element to the top of the stack isEmpty = Determine whether the stack is empty</p> Signup and view all the answers

    What will be the value of 'top' after popping from a stack that currently has 'top = 3'?

    <p>2</p> Signup and view all the answers

    The 'isEmpty' operation returns true when there are elements in the stack.

    <p>False</p> Signup and view all the answers

    Describe how to implement a stack using an array.

    <p>Initialize an array and set 'top' to -1. Use 'push' and 'pop' operations to manage elements.</p> Signup and view all the answers

    What operation removes the top element from a stack in a linked list implementation?

    <p>Pop</p> Signup and view all the answers

    Pushing an element onto a stack adds it to the end of the linked list.

    <p>False</p> Signup and view all the answers

    What is the main data structure used for implementing a stack in the provided content?

    <p>Linked List</p> Signup and view all the answers

    In a stack, the operation ______ adds an element to the top.

    <p>push</p> Signup and view all the answers

    Match the actions with their descriptions in stack operations:

    <p>Push = Adds an element to the top of the stack Pop = Removes the element from the top of the stack Top = Points to the current top element New Node = Creates a new stack element</p> Signup and view all the answers

    Which of the following is NOT a typical application of stacks?

    <p>Hold user input</p> Signup and view all the answers

    In the reversal of a string using a stack, the last character pushed is the first to be popped.

    <p>True</p> Signup and view all the answers

    What does the pop operation return in a stack?

    <p>The top value of the stack</p> Signup and view all the answers

    What action should be taken when encountering a right parenthesis ')'?

    <p>Pop operators from the stack until a left parenthesis is encountered.</p> Signup and view all the answers

    Infix to postfix conversion does not require considering operator precedence.

    <p>False</p> Signup and view all the answers

    In the expression (A + (B * C - (D / E^F) * G) * H), what is the final postfix expression?

    <p>ABC<em>DEF^/G</em>-H*+</p> Signup and view all the answers

    When a reading symbol is an operand, it should be ______ to the result.

    <p>printed</p> Signup and view all the answers

    Match the following symbols with their respective actions:

    <p>Operand = Print to result Left Parenthesis '(', = Push to stack Right Parenthesis ')' = Pop until left parenthesis Operator = Push to stack or Pop based on precedence</p> Signup and view all the answers

    In the example expression 10 + 2 * 8 - 3, what happens when the operator * is encountered?

    <p>It is pushed onto the stack without popping any operators.</p> Signup and view all the answers

    An operator with lower precedence than the stack's top operator gets pushed to the stack.

    <p>False</p> Signup and view all the answers

    What is the outcome when encountering an operator with higher or equal precedence than the one on the top of the stack?

    <p>Pop the operator from the stack and print it to the result.</p> Signup and view all the answers

    Study Notes

    Stacks

    • Stacks are lists with the restriction that insertions and deletions occur at the same end.
    • Elements are added and removed in a Last-In, First-Out (LIFO) manner.
    • Operations on a stack include: push (add), pop (remove), and peek (retrieve top element).
    • Stacks are useful when the order of operations must be reversed.

    Stack Operations

    • push: Adds an element to the top of the stack.
    • pop: Removes an element from the top of the stack.
    • peek: Retrieves the top element of the stack.
    • isEmpty: Checks if the stack is empty.
    • size: Returns the number of elements in the stack.

    Stack Implementation (Using Arrays)

    • A fixed-size array is used to store stack elements.
    • A variable top keeps track of the index of the top element.
    • top is initialized to -1 when the stack is empty.
    • push increments top and stores the new element at stack[top].
    • pop retrieves the element at stack[top], decrements top, and returns the element.
    • MAXSIZE defines the maximum size of the array.

    Stack Implementation (Using Linked Lists)

    • A dynamic structure (using pointers).
    • A Node structure, containing data and a pointer to the next Node.
    • top points to the top element (head of the list).
    • push inserts a new node at the beginning of the list.
    • pop removes the node at the beginning of the list.

    Stack Applications

    • String reversal: Pushing characters into a stack and then popping them out reverses them.
    • Bracket matching: Using a stack for parenthesis checks. If a closing bracket is encountered and corresponding opening bracket is not present in the stack, there is a mismatch.
    • Postfix Evaluation: Evaluating expressions written in postfix notation (e.g., 10 2 +).
    • Function calls: Tracking function calls in programming.
    • Browsers: Storing visited pages in a LIFO manner.

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    Related Documents

    Lecture 4 - Stacks PDF

    Description

    Explore the fundamental concepts of stacks, including LIFO behavior and essential operations like push, pop, and peek. Understand stack implementation using arrays and learn how to manage size and check for emptiness. This quiz will test your knowledge on the essential operations and structure of stacks.

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