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  1. Converting an infix expression (e.g., a + b * c) to a postfix expression (e.g., abc*+) simplifies evaluation by computers. This is achieved using a stack to handle operator precedence and parentheses.

    Example Code in Python

    # Function to define operator precedence
    def precedence(op):
    if op == '^':
    return 3
    elif op in ('*', '/'):
    return 2
    elif op in ('+', '-'):
    return 1
    else:
    return -1

    # Function to convert infix to postfix
    def infix_to_postfix(expression):
    stack = [] # Stack to hold operators
    postfix = "" # Resultant postfix expression

    for char in expression:
    # If operand, add to postfix
    if char.isalnum():
    postfix += char
    # If '(', push to stack
    elif char == '(':
    stack.append(char)
    # If ')', pop until '(' is encountered
    elif char == ')':
    while stack and stack[-1] != '(':
    postfix += stack.pop()
    stack.pop() # Remove '(' from stack
    # If operator, handle precedence
    else:
    while stack and precedence(char) <= precedence(stack[-1]):
    postfix += stack.pop()
    stack.append(char)

    # Pop remaining operators from the stack
    while stack:
    postfix += stack.pop()

    return postfix

    # Example usage
    expression = "a+b*(c^d-e)^(f+g*h)-i"
    print("Postfix Expression:", infix_to_postfix(expression))
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  2. Convert an infix expression into a postfix expression

    2025年9月10日 · Learn how to use stack data structure to convert an infix expression to a postfix expression. See the algorithm, pictorial representation, …

  3. Infix to Postfix Conversion Using Stack. | AlgoLesson

    2024年1月9日 · Converting an infix expression to a postfix expression involves rearranging the operators and operands to a postfix format. We can perform this operation using the Stack data …

  4. Algorithm to Convert Infix to Postfix Using Stack » CS Taleem

    Learn how to use a stack-based approach to convert an infix expression to a postfix expression using the Shunting Yard Algorithm. See the step-by-step algorithm, examples, and diagrams for better …

  5. Infix to Postfix/Prefix converter - how to convert step by step using stack

    Learn how to convert infix expressions to postfix or prefix forms using stacks. See step by step conversion for any input string and the algorithm for both conversions.

    The following converter converts an infix expression to a postfix expression. Change the expression and converter will convert infix to postfix step by step.
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  6. Convert Infix expression to Postfix expression - Online Tutorials Library

    When scanning an infix expression, we can use a stack to store operators and pop them based on precedence. This way, we can convert infix to postfix without losing the order of operations.

  7. Infix to Postfix using Stack in C - Dot Net Tutorials

    Learn how to convert an infix expression into a postfix expression using a stack in C with examples and steps. See the procedure, precedence table, and code for both methods.

  8. Infix to Postfix Converter | Dynamic Step-By-Step Stack …

    Learn how to convert infix expressions to postfix expressions using a stack and the order of operations. See examples, step-by-step conversions, and dynamic …

  9. Infix, Prefix and Postfix Conversion in Stack - Algorithm Room

    The algorithm for converting an infix expression (where operators are between operands, e.g., 3 + 4 * 2) to a postfix expression (also known as Reverse Polish Notation, e.g., 3 4 2 * +) involves utilizing a …

  10. Infix to Postfix Conversion using Stack in C++ - GeeksforGeeks

    2025年7月23日 · C++ Program to Convert an Infix Expression to a Postfix Expression using a Stack The following program illustrates how we can convert an infix expression to a postfix expression using a …

  11. Infix to Postfix Using Stack について掘り下げる