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Quick Binary Representation Help

  1. Feb 1, 2007 #1
    1. The problem statement, all variables and given/known data

    What is the range of a 11bit code, using
    c. Unsigned fixed-point with 8 binary places

    2. Relevant equations

    Base conversions
    2^n where n is bits, for range/precision

    3. The attempt at a solution

    I have two ideas:

    1)

    The highest value that can be represented is: 111.11111111, which represents this ... 7.99609375 ... then I subtract one from it ... – 1 = 6.99609375
    0 to 6.99609375

    Or

    2) Since it is a 11bit code, you have 2^11 possible combinations to store in memory. Since the binary pt is fictional, until it is programmed by the programmer, wouldn't you still need 2^11 binary points to represent the 11 bit code xxxxxxxxxxx, regardless of what value it is?

    That's my reasoning.
     
    Last edited: Feb 1, 2007
  2. jcsd
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