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The following postfix expression with single digit operands in evaluated using a stack
8 2 3 ^ / 2 3* + 5 1 * -
Note that A is the exponentiation operator. The top two elements of the stack after the first* is evaluated are
  • a)
    6, 1
  • b)
    5, 7
  • c)
    3, 2
  • d)
    1, 5
Correct answer is option 'A'. Can you explain this answer?
Verified Answer
The following postfix expression with single digit operands in evaluat...
Given postfix expression is
8 2 3 ^ / 23 * + 5 1 * -

So the top two elements of the stack are 6, 1 after the first * is evaluated.
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Most Upvoted Answer
The following postfix expression with single digit operands in evaluat...
Explanation:
To evaluate the given postfix expression, we need to use a stack data structure. The stack will be used to keep track of the intermediate results.

Step 1: Evaluating 8 2 3 ^
In this step, we encounter the exponentiation operator (^) with operands 2 and 3. To evaluate this, we need to calculate 2 raised to the power 3, which is 8. So we push 8 onto the stack.

Stack: 8

Step 2: Evaluating /
Next, we encounter the division operator (/). The top two elements of the stack are 8 and 2. We perform the division operation 8 / 2, which gives us 4. We push 4 onto the stack.

Stack: 4

Step 3: Evaluating 2 3 *
In this step, we encounter the multiplication operator (*) with operands 2 and 3. We calculate 2 multiplied by 3, which is 6. We push 6 onto the stack.

Stack: 4, 6

Step 4: Evaluating 5 1 *
Next, we encounter the multiplication operator (*) with operands 5 and 1. We calculate 5 multiplied by 1, which is 5. We push 5 onto the stack.

Stack: 4, 6, 5

Step 5: Evaluating -
Finally, we encounter the subtraction operator (-). The top two elements of the stack are 6 and 5. We perform the subtraction operation 6 - 5, which gives us 1. We push 1 onto the stack.

Stack: 4, 1

Final Result:
After evaluating the entire postfix expression, the top two elements of the stack are 4 and 1. Therefore, the answer is option 'A': 6, 1.
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