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Question detail

Compare fixed-point and floating-point representations in terms of range, precision and speed of calculation. Include one advantage and one disadvantage of each representation.

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

At a glance

Question

Type

practice

Style

Topic

Binary number system

Exam-style question

Try this first

Compare fixed-point and floating-point representations in terms of range, precision and speed of calculation. Include one advantage and one disadvantage of each representation.

Model answer

What a good answer should say

  • Fixed-point representation has a fixed position for the binary point.
  • Its range is limited by how the available bits are divided between the whole-number and fractional parts.
  • More bits allocated to the fractional part can give greater precision for fractional values, but this leaves fewer bits for the whole-number part.
  • Fixed-point calculations can be faster because the binary-point position does not need to be adjusted.

Explanation

Why this works

A strong answer compares all three required factors rather than describing only one representation. It should recognise the trade-off: fixed point offers a fixed, predictable format and may be faster, whereas floating point offers a wider range but may have variable precision and slower calculations.

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