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  • Author Author: fahrenheit_98
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Dexi Numeral System

fahrenheit_98

It is well known that we use the Decimal Numeral System just because we have ten fingers.

 

It is also well known that the numeral systems with base two and multiples of two make the calculations much easier, compared to the use of the decimal system.

 

Unfortunately we do not have an easy to use symbolgy for the most powerful numeral systems:  we use part of the decimal symbols (binary and octal systems) or mixed decimal and alphabetic symbols (exadecimal system).

 

I propose the "Dexi Numeral System", a new exadecimal symbology where the symbols have a binary structure.

 

The system is very easy to learn and the calculations are  made easier by the power of the exadecimal and binary systems.

 

Some operations are also "easy to see".  Try, for example, to do a multiplication by two:  you just need to shift to left all the segments of the original number.

 

The proposed system is, of course, just an amusing exercise but, maybe, in one or two millenia we will use something similar.

  • Thank you for the comments.  As I said, I consider this just an amusing exercise, so do not take it too seriously.

     

    Anyway, some short answer to all:

     

    • The mental processes involved in the binary arithmetic are much, much easier, but we should learn it from the beginning.
    • I agree about the "zero" symbol.  I have considered this issue and tried other solutions, but I didn't find an optimal one. At the end I spent only one day in developing the idea.
    • I still use RPN (since 1972) for my calculations, also with my smartphone and tablet;  it is much more efficient than algebraic prefix notation.
    • I heard the numbers 1, 2, 4 and 8 in tens of different languages.  The names of the the bits "ne", "du", "ka" and "to", recall the sounds in many of these languages.  The four different vowels used, avoid confusion. The numbers are very easy to pronounce, if you think binary.
    • You have to think each digit as a four bit binary number wound on itself: one bit per arc segment.  If you have many digits you can see these as a single binary number with the bits grouped by four, this makes easy the mental calculations. The numbers are easy to write by hand and can also easily represented with seven-segments displays.

     

    GLC

  • Intriguing idea, but not very practical to say some numbers out loud: FFFF comes out as sockittome sockittome sockittome sockittome or whatever those syllables are.

     

    Any particular reason why the arcs are in the order shown?  I would have stuck with the standard "All Students Take Calculus" quadrant numbering.

  • Reminds me of the original reverse polish calculators.

    Yes they were more efficient, but unless you grow up using it, you really do not have a reason to learn it.

     

    DAB

  • What makes you think that "numeral systems with base two and multiples of two make the calculations much easier"  -for computers yes, for people ????

     

    Your zero symbol - won't do for me, it's already in use so we might end up with "if a == -e" which might mean "if a == -13" or "if a == 013".

     

    Actually I'm happy with "if a == 0xd" - but only because I'm used to it.

     

    MK