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What is the result of evaluating the following postx expression?ab*cd*+where a = 2, b = 2, c = 3, d = 4

Question

What is the result of evaluating the following postx expression?abcd+where a = 2, b = 2, c = 3, d = 4

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Solution

To evaluate the given postfix expression "abcd+", we will follow these steps:

  1. Replace the variables with their corresponding values: a = 2, b = 2, c = 3, d = 4

  2. Start scanning the expression from left to right.

  3. When we encounter a variable or operand, we push it onto a stack.

  4. When we encounter an operator, we pop the top two elements from the stack, perform the operation, and push the result back onto the stack.

  5. Repeat steps 3 and 4 until we have scanned the entire expression.

  6. Finally, the result will be the top element of the stack.

Let's apply these steps to the given expression:

  1. Replace the variables: a = 2, b = 2, c = 3, d = 4

  2. Start scanning the expression: "abcd+"

  3. Push 2 onto the stack.

  4. Push 2 onto the stack.

  5. Encounter "*", so pop 2 and 2 from the stack, perform the multiplication (2 * 2 = 4), and push the result (4) onto the stack.

  6. Push 3 onto the stack.

  7. Push 4 onto the stack.

  8. Encounter "*", so pop 3 and 4 from the stack, perform the multiplication (3 * 4 = 12), and push the result (12) onto the stack.

  9. Encounter "+", so pop 4 and 12 from the stack, perform the addition (4 + 12 = 16), and push the result (16) onto the stack.

  10. The final result is 16, which is the top element of the stack.

Therefore, the result of evaluating the given postfix expression "abcd+" with a = 2, b = 2, c = 3, and d = 4 is 16.

This problem has been solved

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