What is the value of the postfix expression 6 8 2 1 + – *: Answer choicesSelect only one optionREVISIT-301620-40
Question
What is the value of the postfix expression 6 8 2 1 + – *: Answer choicesSelect only one optionREVISIT-301620-40
Solution 1
The postfix expression is evaluated using a stack. Here are the steps:
- 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 together (1 + 2 = 3), and push the result back onto the stack.
- Encounter '–', so pop 3 and 8 from the stack, subtract 3 from 8 (8 - 3 = 5), and push the result back onto the stack.
- Encounter '*', so pop 5 and 6 from the stack, multiply them together (5 * 6 = 30), and push the result back onto the stack.
So, the value of the postfix expression 6 8 2 1 + – * is 30.
Solution 2
The postfix expression is evaluated using a stack. Here are the steps:
- 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, and push 3 back onto the stack.
- Encounter '–', so pop 3 and 8 from the stack, subtract 3 from 8 to get 5, and push 5 back onto the stack.
- Encounter '*', so pop 5 and 6 from the stack, multiply them to get 30, and push 30 back onto the stack.
So, the value of the postfix expression 6 8 2 1 + – * is 30.
Solution 3
The postfix expression is evaluated using a stack. The steps are as follows:
- 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 together to get 3, and push 3 back onto the stack.
- Encounter '–', so pop 3 and 8 from the stack, subtract 3 from 8 to get 5, and push 5 back onto the stack.
- Encounter '*', so pop 5 and 6 from the stack, multiply them together to get 30.
So, the value of the postfix expression 6 8 2 1 + – * is 30.
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