What is the value of the postfix expression 6 3 2 4 + – *?
Question
What is the value of the postfix expression 6 3 2 4 + – *?
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Solution
The postfix expression is evaluated using a stack. Here are the steps:
- Push 6 onto the stack.
- Push 3 onto the stack.
- Push 2 onto the stack.
- Push 4 onto the stack.
- Encounter '+', so pop 4 and 2 from the stack, add them to get 6, and push 6 onto the stack.
- Encounter '–', so pop 6 (the result of 2+4) and 3 from the stack, subtract 3 from 6 to get 3, and push 3 onto the stack.
- Encounter '*', so pop 3 and 6 from the stack, multiply them to get 18.
So, the value of the postfix expression 6 3 2 4 + – * is 18.
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