# Floating-Point Numbers

- Created by: EssB
- Created on: 21-04-15 09:24

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- Floating Point Numbers
- Integers
- Can include fractions

- First digit after binary point is worth one half, decimal system is worth one tenth
- No third symbol available to store a number explicitly
- Advantages
- Arithmetic
- Faster processing

- Arithmetic
- Disadvantages
- Limited range
- Increasing numbner of bits after binary point

- Binary
- Allows computer to hold fractions
- Range of numbers is still limited
- Largest number that can be held- just over 8 million
- Scientific notation used for large decimal numbers
- Mantissa
- AKA Coefficient
- Holds digits

- Exponent
- Where to place decimal point

- Normalisation
- Precision of floating point representation
- AKA Normalised form
- In the case of a positive number, the form in which the first bit of the mantissa, not counting the sign bit, is 1.
- Advantages
- Maximum precision for given bit number
- Only one representation for each number

- Integers

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