In which application would you use a stack to evaluate expressions?
Practice Questions
Q1
In which application would you use a stack to evaluate expressions?
Infix to postfix conversion
Sorting a list of numbers
Searching for an element
Implementing a binary tree
Questions & Step-by-Step Solutions
In which application would you use a stack to evaluate expressions?
Step 1: Understand what a stack is. A stack is a data structure that follows the Last In First Out (LIFO) principle, meaning the last item added is the first one to be removed.
Step 2: Learn about expressions. An expression is a combination of numbers, operators (like +, -, *, /), and sometimes variables.
Step 3: Know the types of expressions. There are three common types: infix (like A + B), postfix (like A B +), and prefix (like + A B).
Step 4: Understand infix to postfix conversion. Infix expressions are not easy for computers to evaluate directly, so we convert them to postfix format.
Step 5: Use a stack during the conversion. While converting infix to postfix, we use a stack to temporarily hold operators and ensure they are in the correct order.
Step 6: Evaluate the postfix expression. Once we have the postfix expression, we can use another stack to evaluate it by processing operands and operators in the correct order.
