Reverse Polish：練習問題

Convert the following Reverse Polish Notation (RPN) expression into its standard infix form:
3 4 + 2 * 7 -

Which of the following describes a primary advantage of using Reverse Polish Notation (RPN) in computer systems, such as in the implementation of stack-based interpreters?

Consider an expression tree where the post-order traversal yields the sequence: A B + C D * /. What is the equivalent infix expression, assuming standard algebraic rules apply?

Which of the following is a primary advantage of using Reverse Polish Notation (RPN) in computer science?

Which of the following describes the relationship between Post-Order tree traversal and Reverse Polish Notation?

Convert the following infix expression into Reverse Polish Notation (RPN): \( (5 + 3) \times 2 \).

Evaluate the following Reverse Polish Notation expression using a stack-based approach: \( 10 \space 2 \space / \space 3 \space + \).

Convert the complex expression \( (A + B) \times (C - D) / E \) into its equivalent Reverse Polish Notation form.

A programmer is converting mathematical expressions for a stack-based interpreter.

(a) Convert the following infix expression to Reverse Polish Notation (RPN):
\((7 + 3) \times (10 - 2)\)

(b) State one advantage of using Reverse Polish Notation in computer systems.

Convert the RPN expression \(12 \text{ } 3 \text{ } / \text{ } 5 \text{ } 2 \text{ } + \text{ } \times\) back into its infix equivalent.

(a) Show the state of the stack after each operation is performed.
(b) Provide the fully parenthesized infix expression.