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Question detail

Which statement best explains why floating-point representation can produce a rounding error?

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

At a glance

MCQ

Type

practice

Style

Topic

Binary number system

Exam-style question

Try this first

Which statement best explains why floating-point representation can produce a rounding error?.

  1. A.The value may require more binary-fraction bits than are available
  2. B.Floating point stores only whole numbers
  3. C.Floating point prevents all changes to the stored value
  4. D.The value is always rounded to the nearest integer

Model answer

What a good answer should say

  • The value may require more binary-fraction bits than are available

Explanation

Why this works

Floating-point representation still has a limited number of bits available for representing the value. If the binary fraction cannot be represented in those bits, the stored value is rounded and may be inaccurate.

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