Data Structures Quiz

An algorithm for evaluating an arithmetic expression written in postfix notation using a stack.

A numerical value or variable in an arithmetic expression.

A symbol indicating an operation to be performed on operands.

A data structure that stores elements in a last-in, first-out (LIFO) manner.

A way of writing arithmetic expressions where operators follow their operands.

Steps to find the result of a mathematical expression.

If an operand is encountered, push it on the stack.

If an operator is met, pop top two elements (A and B) from the stack.

A symbol that specifies the scope of a sub-expression.

Specifies the priority of evaluation of operators in an expression.

Rule for evaluation of operators with the same precedence (left-to-right or right-to-left).

Operator placed between operands (e.g., A + B).

Postfix expressions eliminate the need for parentheses in calculations.

Converting expressions from infix to postfix notation is a method of evaluating and expression based on operator precedence and associativity.

Postfix notation simplifies expression evaluation by eliminating the need for parentheses.

The process of transforming an infix expression into its equivalent postfix form.

A data structure crucial for converting infix to postfix, allowing efficient storage and retrieval of operators and operands.

Start reading the infix expression from left to right.

If an operand is found, push it onto the stack.

If a left parenthesis is found, push it onto the stack.

If a right parenthesis is found, pop elements from the stack until a matching left parenthesis is found, appending them to the postfix expression.

If an operator is found, pop operators with higher precedence from the stack and append them to the postfix expression, then push the operator onto the stack.

Once the end of the infix expression is reached, pop all remaining operators from the stack and append them to the postfix expression.

A way to convert mathematical expressions from infix notation (like 'A + B * C') to postfix notation (like 'ABC *+') using a stack.

The algorithm uses a stack to temporarily store operators encountered during the conversion process. Operators are popped from the stack and added to the postfix expression based on precedence.

In postfix conversion, opening and closing parentheses guide the algorithm's action. Opening parentheses are pushed onto the stack, and closing parentheses trigger the popping of operators until a matching opening parenthesis is found.

In postfix conversion, operators are added to the output based on their precedence (e.g., multiplication has higher precedence than addition). When an operator with higher or equal precedence is encountered, operators from the stack are popped until a lower precedence operator is found.

Postfix notation simplifies expression evaluation because it eliminates the need for parentheses. The order of operations is clearly defined by the sequence of operands and operators.

A data structure that stores elements in a last-in, first-out (LIFO) order. Imagine a stack of plates: you can only add or remove plates from the top.

When you try to add an element to a stack that is already full. Like trying to put another plate on a stack that's already too high.

When you try to remove an element from a stack that's empty. Like trying to take a plate from an empty stack!

The process of removing the top element from a stack.

The process of adding a new element to the top of a stack.

A value or variable used in an arithmetic expression.

A symbol that indicates an operation to be performed in an arithmetic expression.

A mathematical expression where operators are written after their operands.

It simplifies the evaluation of arithmetic expressions and eliminates the need for parentheses.

Stacks are widely used in computer science, including operating systems, compilers, and expression evaluation. They are also used in recursion and subroutine calls.