Question

​​​​​What is the value of the postfix expression:
732 *-4 ↑ 93 /+

Answer 1

The value of the postfix expression '732 *-4 ↑ 93 /+' is calculated using stack-based logic, resulting in a final value of 259.

Step-by-step explanation:

The value of the postfix expression 732 *-4 ↑ 93 /+ is calculated using a stack-based method of processing postfix, or Reverse Polish Notation (RPN), expressions. We will process the expression from left to right, performing operations and pushing results onto the stack as required.

1. Push 7 onto the stack.
2. Push 3 onto the stack.
3. Push 2 onto the stack.
4. Pop the top two values (3 and 2), multiply them (gives 6), and push the result onto the stack.
5. Subtract the next two values (pop 7 and 6, 7-6 gives 1), and push the result onto the stack.
6. Push 4 onto the stack.
7. The ↑ symbol represents exponentiation. Pop 4 (as base) and use the ↑ operator with the next number (also 4) to represent 4 raised to the power of 4, resulting in 256. Push 256 onto the stack.
8. Push 9 onto the stack.
9. Push 3 onto the stack.
10. Divide 9 by 3 (gives 3), push 3 onto the stack.
11. Pop the top two values (256 and 3), add them together (gives 259), and push the result onto the stack.

The final value on the stack is 259, which is the result of the postfix expression 732 *-4 ↑ 93 /+.