Floating-Point Numbers

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  • 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
    • 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


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