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The Digit and digit symbols

  1. Jan 30, 2004 #1
    Digit has {b} ; b is the count of symbols
    b is the base of the digit and is the symbol count

    b symbols
    1 0
    2 0,1
    3 0,1,2
    ...
    The symbol count is necessary. The symbols can be any set of marks.
    If you count and come to the end of the symbols you have, there are 3
    choices:
    1: give up
    2: make another symbol
    3: add another digit
    If you add another digit you must have a carry mechanism and your digits make a polynomial in b.
    It is easy to show that any multi digit number can be made into a single digit by choosing a new base that is old b to the digit power.

    I make machines that do math. Anyone interested in this kind of stuff?
     
  2. jcsd
  3. Jan 30, 2004 #2

    chroot

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    Is that you, hlreed?

    - Warren
     
  4. Jan 30, 2004 #3
    Hi Warren.
    I thought you would get me.
     
  5. Jan 30, 2004 #4

    chroot

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    Yes, I probably will.

    - Warren
     
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