Postfix evaluation using python program
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postfix notation, also known as reverse polish notation (rpn), is a mathematical notation in which every operator follows all of its operands. postfix evaluation involves evaluating an expression given in postfix notation.
to evaluate a postfix expression, we can use a stack data structure. we iterate through the expression from left to right. if we encounter an operand, we push it onto the stack. if we encounter an operator, we pop the required number of operands from the stack, perform the operation, and push the result back onto the stack.
here is a step-by-step process for evaluating a postfix expression:
1. initialize an empty stack.
2. iterate through each token in the postfix expression.
3. if the token is an operand, push it onto the stack.
4. if the token is an operator, pop the required number of operands from the stack, perform the operation, and push the result back onto the stack.
5. after iterating through all tokens, the result will be the only element left on the stack.
let's implement a python program to evaluate a postfix expression:
in the above program, the `evaluate_postfix` function takes a postfix expression as input and returns the result of evaluating it. we use a stack to store operands and perform operations when encountering operators.
you can try this program with different postfix expressions to evaluate them. postfix evaluation is a fundamental concept in computer science and is widely used in calculators and compilers.
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