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Number Representation and Floating Point

Floating point representation

  • 3 things to know
  • A2 Unit 4

Overview

Two parts of a floating point number, fixed point representation and normalised floating point number.

What you need to know

Answer each one before you reveal it.

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Key term

What are the two parts of a floating point number?

Key term

What does the exponent represent?

Key term

Why is the form called floating point?

Questions from this subtopic

Each one with the model answer underneath.

  1. 1

    What are the two parts of a floating point number?

    Model answer

    The mantissa, which holds the significant digits, and the exponent, which says where the binary point sits.

  2. 2

    What does the exponent represent?

    Model answer

    The power of two by which the mantissa is multiplied.

  3. 3

    Why is the form called floating point?

    Model answer

    The binary point is not at a fixed position but moves according to the exponent.

  4. 4

    What is fixed point representation?

    Model answer

    A format in which the binary point is at a fixed position, so the number of bits before and after it never changes.

  5. 5

    Give one advantage of floating point over fixed point.

    Model answer

    It represents a far wider range of magnitudes with the same number of bits.

  6. 6

    Give one disadvantage of floating point.

    Model answer

    Precision is limited by the mantissa length, so many values can only be stored approximately.

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