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Question detail

Convert the RPN expression 7 2 - 3 + into infix form and describe how a stack can be used to evaluate it.

Try the question, check the answer, then read the explanation to understand the curriculum point.

At a glance

Question

Type

practice

Style

Topic

Reverse Polish

Exam-style question

Try this first

Convert the RPN expression 7 2 - 3 + into infix form and describe how a stack can be used to evaluate it.

Model answer

What a good answer should say

  • (7 - 2) + 3

Explanation

Why this works

The operands 7 and 2 are followed by -, so they form the sub-expression (7 - 2). The next operand is 3 and the final operator is +, giving (7 - 2) + 3.

To evaluate it with a stack, push 7, push 2, apply -, and push the result 5. Push 3, apply +, and push the final result 8.

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