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Evaluate the infix expression (5 + 9) * 4 - (4 ^ 5) using two stacks:...

Evaluate the infix expression (5 + 9) * 4 - (4 ^ 5) using two stacks:

an operator stack and operand stack. Show the contents of both stacks after processing each input character. The top of the stack is the rightmost entry.

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Answer #1

Infix expression:

(5+9)*4-(4^5)

Symbol OperandStack Operator Stack Popped stack Operand1 Operand2 Value
( (
5 5
+ 5 (+
9 5,9 (+
) 14 + 5 9 14
* 14 *
4 14,4
- 14,4 - * 14 4 56
( 56, -,(
4 56,4 -,(
^ 56,4 -,(^
5 56,4,5 -,(^
) 56,1024 -(^) ^ 4 5 1024
56,1024 - - 56 1024 -968
-968

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