**From:** Luke-Jr (*luke@dashjr.org*)

**Date:** Sat Jun 05 2010 - 10:29:03 CDT

**Previous message:**Michael Everson: "Re: Hexadecimal digits"**In reply to:**Otto Stolz: "Re: Hexadecimal digits"**Next in thread:**Peter Constable: "RE: Hexadecimal digits"**Reply:**Peter Constable: "RE: Hexadecimal digits"**Reply:**Hans Aberg: "Rapid mental calculation"**Reply:**Mark E. Shoulson: "Re: Hexadecimal digits"**Messages sorted by:**[ date ] [ thread ] [ subject ] [ author ] [ attachment ]**Mail actions:**[ respond to this message ] [ mail a new topic ]

On Saturday 05 June 2010 09:33:03 am Otto Stolz wrote:

*> In the decimal systems, you can easier divide by 2, 5,
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*> and powers of 10, whilst in the hexadekadic system,
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*> you can easier divide by many powers of two, and all
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*> powers of 16.
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And 4, and 8. Many repeating fractions also become more accurate with base 16.

*> For arbitrary divisors, the decimal system seems to be
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*> easier, as you would use the same division algorithm,
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*> in both systems, however with different tables (dubbed
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*> “multiplication table” or, less formally, “times table”)
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*> that comprise 100 vs. 256 entries. Hence, the the hexa-
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*> dekadic multiplication table should be 2½ times as hard
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*> to learn, and memorize, as the decimal one.
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Does anyone seriously memorise multiplication tables...?

*> This whole deliberation is, of course, purely academic.
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*> In real life, you will have to use the decimal system
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*> as everybody else does, lest you wont be misunderstood.
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Only when/if you deal with "everybody else".

And then you need only convert, not use it for your calculations.

*> You may wonder, why I am using the term “hexadekadic”.
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*> This is because, “hexadeka” is the Greek word for 16,
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*> whilst the Latin word ist “sedecim”; there is no language
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*> known that has “hexadecim”, or anything alike, for 16.
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I prefer "tonal", since "hexadecimal"/"hexadekadic" both imply a decimal base.

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