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Why are floating point numbers normalised?

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

Why are floating point numbers normalised?.

  1. A.To give each value a consistent representation and maximise the available precision
  2. B.To make every exponent positive
  3. C.To remove the need for a mantissa
  4. D.To ensure that every floating point number is an integer

Model answer

What a good answer should say

  • To give each value a consistent representation and maximise the available precision

Explanation

Why this works

Normalisation moves the binary point so that the mantissa begins in the required form. This gives a consistent representation and makes effective use of the available mantissa bits, helping to maximise precision.

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