alue of the postfix expression 6 8 2 1 + – *
Question
alue of the postfix expression 6 8 2 1 + – *
Solution
Sure, here is the step by step solution for the postfix expression 6 8 2 1 + - *:
- Scan the expression from left to right.
- When you encounter numbers, push them onto the stack.
- When you encounter an operator, pop the last two numbers from the stack and perform the operation.
- Push the result back onto the stack.
- Continue this process until you have scanned the entire expression.
- The final result will be the only number left on the stack.
Let's apply these steps to your expression:
- Push 6 onto the stack.
- Push 8 onto the stack.
- Push 2 onto the stack.
- Push 1 onto the stack.
- Encounter '+', so pop 1 and 2 from the stack, add them to get 3. Push 3 back onto the stack.
- Encounter '-', so pop 3 and 8 from the stack, subtract 3 from 8 to get 5. Push 5 back onto the stack.
- Encounter '*', so pop 5 and 6 from the stack, multiply them to get 30. Push 30 back onto the stack.
So, the value of the postfix expression 6 8 2 1 + - * is 30.
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