The result for the Postfix Expression ab+cd/- where a=5, b=4, c=9, d=3 is
Question
The result for the Postfix Expression ab+cd/- where a=5, b=4, c=9, d=3 is
Solution 1
To solve the postfix expression, we follow the steps below:
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Replace the variables with their values. So, the expression becomes: 5 4 + 9 3 / -
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Start from the left, perform the operations as they come. The first operation is +, so add 5 and 4. The expression becomes: 9 9 3 / -
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The next operation is /, so divide 9 by 3. The expression becomes: 9 3 -
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The last operation is -, so subtract 3 from 9. The final result is: 6
Solution 2
To solve the postfix expression, we follow the Last In First Out (LIFO) rule. Here are the steps:
- Scan the expression from left to right.
- When you encounter operands (a, b, c, d), push them into the stack.
- When you encounter an operator (+, -, /, *), pop the last two operands from the stack, perform the operation, and push the result back into the stack.
Let's solve the given expression "ab+cd/-" where a=5, b=4, c=9, d=3:
- Replace the variables with their values: "5 4 + 9 3 / -"
- Start scanning from left. Push 5 and 4 into the stack.
- Encounter '+', so pop 5 and 4, add them, and push the result (9) back into the stack.
- Push 9 and 3 into the stack.
- Encounter '/', so pop 9 and 3, divide 9 by 3, and push the result (3) back into the stack.
- Now, the stack has 9 and 3. Encounter '-', so pop 9 and 3, subtract 3 from 9, and push the result (6) back into the stack.
So, the result for the postfix expression "ab+cd/-" where a=5, b=4, c=9, d=3 is 6.
Similar Questions
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