What is the value of the postfix expression of 1 3 8 6 7 + * - + ?Options-100100-110-101
Question
What is the value of the postfix expression of 1 3 8 6 7 + * - +
?
Options:
- 100
- 100
- -110
- -101
Solution
The postfix expression is evaluated using a stack. The operands are pushed onto the stack until an operator is encountered. The operator then pops the top two elements from the stack, performs the operation, and pushes the result back onto the stack. This process is repeated until the expression is fully evaluated.
Here's how to evaluate the given postfix expression step by step:
- Push 1 onto the stack.
- Push 3 onto the stack.
- Push 8 onto the stack.
- Push 6 onto the stack.
- Push 7 onto the stack.
- Encounter '+', so pop 7 and 6 from the stack, add them together to get 13, and push 13 onto the stack.
- Encounter '*', so pop 13 and 8 from the stack, multiply them to get 104, and push 104 onto the stack.
- Encounter '-', so pop 104 and 3 from the stack, subtract 3 from 104 to get 101, and push 101 onto the stack.
- Encounter '+', so pop 101 and 1 from the stack, add them together to get 102, and push 102 onto the stack.
So, the value of the postfix expression "1 3 8 6 7 + * - +" is 102. But this option is not given in your list. Please check the expression or the options again.
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