- Evaluate the postfix expression "5 3 * 8 +" using a stack
Question
- Evaluate the postfix expression "5 3 * 8 +" using a stack
Solution
Sure, here's how you can evaluate the postfix expression "5 3 * 8 +" using a stack:
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Start from the left, push 5 and 3 into the stack. Stack: [5, 3]
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The next symbol is *, which is an operator. So, we pop the top two numbers from the stack, multiply them and push the result back into the stack. Stack: [15]
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Next, we push 8 into the stack. Stack: [15, 8]
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The next symbol is +, which is an operator. So, we pop the top two numbers from the stack, add them and push the result back into the stack. Stack: [23]
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Now, we have traversed the entire expression and the final result is the only element left in the stack, which is 23.
So, the postfix expression "5 3 * 8 +" evaluates to 23.
Similar Questions
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You are implementing a stack-based calculator. Your calculator should take a string that represents a mathematical expression in postfix notation (also known as reverse Polish notation) and return the result of the calculation. For example, the input "2 3 +" should return 5, and "5 2 - 3 *" should return 9. Construct a logic to evaluate the mathematical expression.Input format :The input consists of a single line of mathematical expression string separated by a space.Output format :The output prints the result of the expression evaluation.If the input has expressions other than + - * /, return the output as -1.Refer to the sample output for formatting specifications.Code constraints :Allowed arithmetic expressions: + - * /Sample test cases :Input 1 :2 7 +Output 1 :9Input 2 :6 4 - 2 *Output 2 :4Input 3 :1 2 @Output 3 :-1Input 4 :2 3 +Output 4 :5Input 5 :5 2 - 3 *Output 5 :9Note :The program will be evaluated only after the “Submit Code” is clicked.Extra spaces and new line characters in the program output will result in the failure of the test case.
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