Re: number base conversion

Gary Shannon <fiziwig@...> wrote:
>
> --- Marty Rosenberg <vortexconcultures@...>
> wrote:
> >
> > First of all, I much appreciate all of the root
> > generation systems. They seem very useful. I have
> > one question about them though: How do you convert
> > numbers between different bases quickly? I know a
> > very long, complicated way to do it which I used for
> > Deniedergy, but that's long and complicated. Plus,
> > it only works for moving to smaller bases.
>
> convert the number 76382 to base 26:
>
> 76382 / 26 = 2935 with  18 remainder
    Actually, it's 2937 with 20 remainder.

> 2935 / 26 = 112 with  23 remainder
> 112 / 26 = 4 with  8 remainder
> 4 / 26 is zero with 4 remainder
    Proceeding from 2937, r. 20:
2937 / 26 = 112 with 25 remainder
112 / 26 = 4 with 8 remainder
4 / 26 = 0 with 4 remainder

> remainders are 18, 23, 8, 4
20, 25, 8, 4

> change those to letters: A=0, B=1, C=2, etc....
>
> gives 18 = S, 23 = X, 8 = I, 4 = E
20 = U, 25 = Z, 8 = I, 4 = E

> so base 26 is "SXIE"
    That's backwards.  It would be "EIXS" if your initial calculations had
been correct.  It's actually "EIZU".

 ===========================================================================

                 Dennis Paul Himes    <>    himes@cshore.com
                   http://home.cshore.com/himes/dennis.htm
        Gladilatian page: http://home.cshore.com/himes/glad/lang.htm

Disclaimer: "True, I talk of dreams; which are the children of an idle
brain, begot of nothing but vain fantasy; which is as thin of substance as
the air."                      - Romeo & Juliet, Act I Scene iv Verse 96-99

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