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What is the value of the postfix expression 6 8 2 1 + – *: Answer choicesSelect only one optionREVISIT-301620-40

Question

What is the value of the postfix expression 6 8 2 1 + – *: Answer choicesSelect only one optionREVISIT-301620-40

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Solution 1

The postfix expression is evaluated using a stack. Here are the steps:

  1. Push 6 onto the stack.
  2. Push 8 onto the stack.
  3. Push 2 onto the stack.
  4. Push 1 onto the stack.
  5. Encounter '+', so pop 1 and 2 from the stack, add them together (1 + 2 = 3), and push the result back onto the stack.
  6. Encounter '–', so pop 3 and 8 from the stack, subtract 3 from 8 (8 - 3 = 5), and push the result back onto the stack.
  7. Encounter '*', so pop 5 and 6 from the stack, multiply them together (5 * 6 = 30), and push the result back onto the stack.

So, the value of the postfix expression 6 8 2 1 + – * is 30.

This problem has been solved

Solution 2

The postfix expression is evaluated using a stack. Here are the steps:

  1. Push 6 onto the stack.
  2. Push 8 onto the stack.
  3. Push 2 onto the stack.
  4. Push 1 onto the stack.
  5. Encounter '+', so pop 1 and 2 from the stack, add them to get 3, and push 3 back onto the stack.
  6. Encounter '–', so pop 3 and 8 from the stack, subtract 3 from 8 to get 5, and push 5 back onto the stack.
  7. Encounter '*', so pop 5 and 6 from the stack, multiply them to get 30, and push 30 back onto the stack.

So, the value of the postfix expression 6 8 2 1 + – * is 30.

This problem has been solved

Solution 3

The postfix expression is evaluated using a stack. The steps are as follows:

  1. Push 6 onto the stack.
  2. Push 8 onto the stack.
  3. Push 2 onto the stack.
  4. Push 1 onto the stack.
  5. Encounter '+', so pop 1 and 2 from the stack, add them together to get 3, and push 3 back onto the stack.
  6. Encounter '–', so pop 3 and 8 from the stack, subtract 3 from 8 to get 5, and push 5 back onto the stack.
  7. Encounter '*', so pop 5 and 6 from the stack, multiply them together to get 30.

So, the value of the postfix expression 6 8 2 1 + – * is 30.

This problem has been solved

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