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Questions and Answers
What does 'LIFO' stand for in the context of stacks?
What does 'LIFO' stand for in the context of stacks?
Elements in a stack can be added to and removed from both ends.
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?
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 _______.
To add an element to the top of the stack, the operation used is called _______.
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Which of the following is NOT a basic operation of a stack?
Which of the following is NOT a basic operation of a stack?
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Match the following stack operations with their descriptions:
Match the following stack operations with their descriptions:
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In an array implementation of a stack, what value is set to the 'top' when the stack is empty?
In an array implementation of a stack, what value is set to the 'top' when the stack is empty?
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In the array implementation of a stack, it is possible to push an element when the stack has reached its maximum size.
In the array implementation of a stack, it is possible to push an element when the stack has reached its maximum size.
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What is the final result of the postfix expression '10 2 8 * + 3 -'?
What is the final result of the postfix expression '10 2 8 * + 3 -'?
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In postfix evaluation, numbers are pushed onto the stack while operators are popped from the stack.
In postfix evaluation, numbers are pushed onto the stack while operators are popped from the stack.
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What is the first step when evaluating a postfix expression?
What is the first step when evaluating a postfix expression?
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In the expression '7 4 -3 * 1 5 + / *', the first operation evaluated is the one involving ______.
In the expression '7 4 -3 * 1 5 + / *', the first operation evaluated is the one involving ______.
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Match the following expressions with their evaluation methods:
Match the following expressions with their evaluation methods:
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What operation is performed to add an element to the top of the stack?
What operation is performed to add an element to the top of the stack?
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Popping an element from a stack will remove the last element added.
Popping an element from a stack will remove the last element added.
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What is a common application of stacks?
What is a common application of stacks?
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In the stack implementation, the pointer named ______ points to the top of the stack.
In the stack implementation, the pointer named ______ points to the top of the stack.
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What does the 'push' function do when the stack is empty?
What does the 'push' function do when the stack is empty?
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A stack can be implemented using a doubly linked list.
A stack can be implemented using a doubly linked list.
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In what order do elements come out when popping from a stack?
In what order do elements come out when popping from a stack?
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What is the resultant postfix expression for the infix expression (A+B)*(C-D)?
What is the resultant postfix expression for the infix expression (A+B)*(C-D)?
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In postfix notation, the order of operations is not preserved compared to infix notation.
In postfix notation, the order of operations is not preserved compared to infix notation.
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What action is taken when encountering a right parenthesis?
What action is taken when encountering a right parenthesis?
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If the reading symbol is an operator, it is pushed onto the stack after popping any operator with ______ precedence.
If the reading symbol is an operator, it is pushed onto the stack after popping any operator with ______ precedence.
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Match the symbols with their actions in infix to postfix conversion:
Match the symbols with their actions in infix to postfix conversion:
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What happens when the reading symbol is an operand?
What happens when the reading symbol is an operand?
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The left parenthesis is included in the results when popping from the stack.
The left parenthesis is included in the results when popping from the stack.
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In the expression 10 + 2 * 8 - 3, what operation takes place when the operator - is encountered?
In the expression 10 + 2 * 8 - 3, what operation takes place when the operator - is encountered?
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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]
.
- Increments
-
Popping:
- Gets the element at
stack[top]
. - Decrements
top
.
- Gets the element at
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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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.