Exam-style question
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Why can a decimal number such as 0.110 be inaccurate when stored using a binary representation?.
- A.Binary representations cannot store any fractional values
- B.The value may not have an exact finite binary-fraction representation
- C.Binary representations always round every number down
- D.The decimal point is removed before storage
Model answer
What a good answer should say
- The value may not have an exact finite binary-fraction representation
Explanation
Why this works
Some decimal values, including 0.110, cannot be represented exactly by a finite binary fraction. The stored value must therefore be an approximation.
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