Stacks Fundamentals and Operations
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Questions and Answers

What does 'LIFO' stand for in the context of stacks?

  • Linear Input, First Out
  • Last Iteration, First Output
  • Last In, First Out (correct)
  • List Input, First Output
  • Elements in a stack can be added to and removed from both ends.

    False

    What operation is used to retrieve the top element of a stack without removing it?

    peek

    To add an element to the top of the stack, the operation used is called _______.

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

    Which of the following is NOT a basic operation of a stack?

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

    Match the following stack operations with their descriptions:

    <p>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 = Determines if the stack is empty</p> Signup and view all the answers

    In an array implementation of a stack, what value is set to the 'top' when the stack is empty?

    <p>-1</p> Signup and view all the answers

    In the array implementation of a stack, it is possible to push an element when the stack has reached its maximum size.

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

    What is the final result of the postfix expression '10 2 8 * + 3 -'?

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

    In postfix evaluation, numbers are pushed onto the stack while operators are popped from the stack.

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

    What is the first step when evaluating a postfix expression?

    <p>Create a stack to store operands.</p> Signup and view all the answers

    In the expression '7 4 -3 * 1 5 + / *', the first operation evaluated is the one involving ______.

    <p>-3</p> Signup and view all the answers

    Match the following expressions with their evaluation methods:

    <p>10 + 2 * 8 - 3 = Postfix Conversion 7 4 -3 * 1 5 + / * = Postfix Evaluation</p> Signup and view all the answers

    What operation is performed to add an element to the top of the stack?

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

    Popping an element from a stack will remove the last element added.

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

    What is a common application of stacks?

    <p>Reversing a string</p> Signup and view all the answers

    In the stack implementation, the pointer named ______ points to the top of the stack.

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

    What does the 'push' function do when the stack is empty?

    <p>Sets the new node as the top of the stack</p> Signup and view all the answers

    A stack can be implemented using a doubly linked list.

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

    In what order do elements come out when popping from a stack?

    <p>Last In First Out (LIFO)</p> Signup and view all the answers

    What is the resultant postfix expression for the infix expression (A+B)*(C-D)?

    <p>AB+CD-*</p> Signup and view all the answers

    In postfix notation, the order of operations is not preserved compared to infix notation.

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

    What action is taken when encountering a right parenthesis?

    <p>Pop all contents of the stack until the left parenthesis is popped.</p> Signup and view all the answers

    If the reading symbol is an operator, it is pushed onto the stack after popping any operator with ______ precedence.

    <p>higher or equal</p> Signup and view all the answers

    Match the symbols with their actions in infix to postfix conversion:

    <p>Operand = Directly print to result Left Parenthesis '(', = Push to Stack Right Parenthesis ')' = Pop from Stack until left parenthesis Operator = Push to Stack after checking precedence</p> Signup and view all the answers

    What happens when the reading symbol is an operand?

    <p>It is directly printed to the result.</p> Signup and view all the answers

    The left parenthesis is included in the results when popping from the stack.

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

    In the expression 10 + 2 * 8 - 3, what operation takes place when the operator - is encountered?

    <p>Pop + and * because they have higher priority.</p> Signup and view all the answers

    Study Notes

    Stacks

    • Stacks are lists with insertions and deletions occurring at the same end.
    • Last-In, First-Out (LIFO) is the principle behind stacks.
    • Elements are removed in the reverse order of insertion.
    • Additions and deletions only happen at the top of the stack.

    Basic Stack Operations

    • add (push): Adding an element to the top of the stack.
    • remove (pop): Removing the top element from the stack.
    • peek/top: Retrieving the top element (without removing it).
    • isEmpty: Checks if the stack is empty.
    • size: Counts the number of elements in the stack.

    Stack Implementation

    • Using Array:
      • Requires a fixed-size array.
      • MAXSIZE is the array's size.
      • top variable tracks the top element's index.
      • top = -1 initializes an empty stack.
    • Using Linked List:
      • Dynamically allocates memory.
      • top pointer refers to the top element.
      • Top element is at the beginning of the linked list.
      • Pushing inserts at the beginning.
      • Popping removes from beginning.

    Pushing and Popping

    • Pushing:
      • Increments top.
      • Stores the new element at stack[top].
    • Popping:
      • Gets the element at stack[top].
      • Decrements top.

    Stacks Applications

    • Line Editing:
    • Reversing Strings: Push characters left to right, pop right to left.
    • Bracket Matching: Use a stack to check matching brackets.
    • Postfix Calculation: Evaluate expressions using a stack.
    • Function Call Stack: Track function calls.
    • Browsers: Navigate back/forward through visited pages.
    • Infix to Postfix Conversion: Convert expressions for evaluation. Rules for conversion are based on precedence and order of operators.
    • Evaluating Postfix Expressions: Evaluate expressions in postfix notation. Operators are evaluated using the top two values stored.

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    Related Documents

    Lecture 4 - Stacks PDF

    Description

    This quiz covers the fundamentals of stacks, focusing on the Last-In, First-Out (LIFO) principle. You will explore basic stack operations such as push, pop, and peek, as well as understand stack implementation using arrays and linked lists.

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