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Re: Bijective basechanger

Newsgroups comp.lang.javascript
Date 2014-06-17 12:08 -0700
References <e8847026-67f9-417c-9166-d1368bb9a704@googlegroups.com>
Message-ID <60b6a006-1e9e-4b16-8056-243992faedcb@googlegroups.com> (permalink)
Subject Re: Bijective basechanger
From "Michael Haufe (TNO)" <tno@thenewobjective.com>

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On Tuesday, June 17, 2014 8:42:28 AM UTC-5, jonas.t...@gmail.com wrote:
> 10=A 
> 100=9A
> 1000=99A 
> ... 
> 20=1A 
> 30=2A 
> 30=3A 
> ... 
> 101=A1 
> 200=19A 
> 201=1A1 
> ... 
> 2000=199A 
> 2001=19A1
> 2010=19AA 
> 2014=1A14 
> 1091020134=????????? Brainteaser 
> 
> A generic basechanger for anybase is rather easy to accomplish, but i am a bit stumped where to start with doing conversion into bijective bases, i was thinking counting up the base multiples upto the number to convert, and bone it out from there saving the differences. But i just can't recall howto do it. 
> 
> Is there an easy obvious way todo this? 
> 
> I slightly remember there is something about using pairs, but that may have been for ordinary base conversion. 
> 
> Who have the fastest head doing the conversion.

Not certain if I follow your question completely, so I'm going to give an answer I hope is in the ball park and hope you can correct me where we disconnect:

An integer "i" in base "n" can be represented in the form "i = (k,l)" where
"k = (i - (i mod n)) / n"
and
"l = i mod n"

For example:

253 = ([253 - (253 mod 16)]/16, 253 mod 16)
    = (15, 13)

Converting the pair back into its original form is simply the base expansion
of the pair: i = k*n + l

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Bijective basechanger jonas.thornvall@gmail.com - 2014-06-17 06:42 -0700
  Re: Bijective basechanger "Michael Haufe (TNO)" <tno@thenewobjective.com> - 2014-06-17 12:08 -0700
    Re: Bijective basechanger jonas.thornvall@gmail.com - 2014-06-17 13:23 -0700
      Re: Bijective basechanger jonas.thornvall@gmail.com - 2014-06-17 13:24 -0700
      Re: Bijective basechanger "Michael Haufe (TNO)" <tno@thenewobjective.com> - 2014-06-17 13:54 -0700
        Re: Bijective basechanger jonas.thornvall@gmail.com - 2014-06-17 14:07 -0700
          Re: Bijective basechanger jonas.thornvall@gmail.com - 2014-06-17 14:15 -0700
            Re: Bijective basechanger John Harris <niam@jghnorth.org.uk.invalid> - 2014-06-23 17:23 +0100
        Re: Bijective basechanger jonas.thornvall@gmail.com - 2014-06-17 14:23 -0700
        Re: Bijective basechanger jonas.thornvall@gmail.com - 2014-06-17 14:41 -0700
          Re: Bijective basechanger "Michael Haufe (TNO)" <tno@thenewobjective.com> - 2014-06-17 20:28 -0700
            Re: Bijective basechanger jonas.thornvall@gmail.com - 2014-06-18 13:04 -0700
              Re: Bijective basechanger "Michael Haufe (TNO)" <tno@thenewobjective.com> - 2014-06-18 16:30 -0700
                Re: Bijective basechanger jonas.thornvall@gmail.com - 2014-06-18 17:45 -0700
                Re: Bijective basechanger jonas.thornvall@gmail.com - 2014-06-18 17:49 -0700
                Re: Bijective basechanger "Michael Haufe (TNO)" <tno@thenewobjective.com> - 2014-06-19 11:21 -0700
                Re: Bijective basechanger jonas.thornvall@gmail.com - 2014-06-19 14:44 -0700
                Re: Bijective basechanger jonas.thornvall@gmail.com - 2014-06-19 14:48 -0700
                Re: Bijective basechanger jonas.thornvall@gmail.com - 2014-06-19 14:55 -0700
                Re: Bijective basechanger "Michael Haufe (TNO)" <tno@thenewobjective.com> - 2014-06-19 19:59 -0700
                Re: Bijective basechanger jonas.thornvall@gmail.com - 2014-06-21 09:25 -0700
                Re: Bijective basechanger jonas.thornvall@gmail.com - 2014-06-21 11:15 -0700
                Re: Bijective basechanger jonas.thornvall@gmail.com - 2014-06-18 18:05 -0700
                Re: Bijective basechanger jonas.thornvall@gmail.com - 2014-06-18 18:19 -0700
                Re: Bijective basechanger jonas.thornvall@gmail.com - 2014-06-18 18:25 -0700
                Re: Bijective basechanger jonas.thornvall@gmail.com - 2014-06-18 18:46 -0700
            Re: Bijective basechanger "Michael Haufe (TNO)" <tno@thenewobjective.com> - 2014-06-23 16:00 -0700
              Re: Bijective basechanger "Michael Haufe (TNO)" <tno@thenewobjective.com> - 2014-06-23 17:51 -0700
  Re: Bijective basechanger John Harris <niam@jghnorth.org.uk.invalid> - 2014-06-23 17:18 +0100
    Re: Bijective basechanger jonas.thornvall@gmail.com - 2014-06-23 11:27 -0700
  Re: Bijective basechanger Scott Sauyet <scott.sauyet@gmail.com> - 2014-06-23 15:29 -0700
    Re: Bijective basechanger jonas.thornvall@gmail.com - 2014-06-24 03:26 -0700
      Re: Bijective basechanger jonas.thornvall@gmail.com - 2014-06-24 03:28 -0700
      Re: Bijective basechanger jonas.thornvall@gmail.com - 2014-06-24 04:24 -0700
        Re: Bijective basechanger jonas.thornvall@gmail.com - 2014-06-24 05:36 -0700
        Re: Bijective basechanger Scott Sauyet <scott.sauyet@gmail.com> - 2014-06-24 13:05 -0700
          Re: Bijective basechanger jonas.thornvall@gmail.com - 2014-06-24 14:13 -0700
            Re: Bijective basechanger jonas.thornvall@gmail.com - 2014-06-25 05:36 -0700
            Re: Bijective basechanger Scott Sauyet <scott.sauyet@gmail.com> - 2014-06-25 12:45 -0700
              Re: Bijective basechanger Scott Sauyet <scott.sauyet@gmail.com> - 2014-06-25 13:15 -0700
                Re: Bijective basechanger jonas.thornvall@gmail.com - 2014-07-01 02:39 -0700
                Re: Bijective basechanger Scott Sauyet <scott.sauyet@gmail.com> - 2014-07-03 07:33 -0700
                Re: Bijective basechanger jonas.thornvall@gmail.com - 2014-07-03 09:54 -0700
                Re: Bijective basechanger jonas.thornvall@gmail.com - 2014-07-04 02:14 -0700
                Re: Bijective basechanger Scott Sauyet <scott.sauyet@gmail.com> - 2014-07-05 12:12 -0700
                Re: Bijective basechanger "Evertjan." <exxjxw.hannivoort@inter.nl.net> - 2014-07-05 22:19 +0200
                Re: Bijective basechanger Scott Sauyet <scott.sauyet@gmail.com> - 2014-07-05 13:50 -0700
                Re: Bijective basechanger jonas.thornvall@gmail.com - 2014-07-06 11:11 -0700
                Re: Bijective basechanger jonas.thornvall@gmail.com - 2014-07-06 14:59 -0700
                Re: Bijective basechanger jonas.thornvall@gmail.com - 2014-07-06 15:00 -0700
                Re: Bijective basechanger jonas.thornvall@gmail.com - 2014-07-06 15:02 -0700
                Re: Bijective basechanger jonas.thornvall@gmail.com - 2014-07-16 23:31 -0700
                Re: Bijective basechanger jonas.thornvall@gmail.com - 2014-07-04 02:28 -0700
                Re: Bijective basechanger Scott Sauyet <scott.sauyet@gmail.com> - 2014-07-05 12:14 -0700
          Re: Bijective basechanger jonas.thornvall@gmail.com - 2014-06-25 22:38 -0700
    Re: Bijective basechanger jonas.thornvall@gmail.com - 2014-06-24 03:32 -0700
    Re: Bijective basechanger jonas.thornvall@gmail.com - 2014-06-24 03:44 -0700
    Re: Bijective basechanger jonas.thornvall@gmail.com - 2014-06-24 11:10 -0700
      Re: Bijective basechanger Scott Sauyet <scott.sauyet@gmail.com> - 2014-06-24 11:45 -0700
  Re: Bijective basechanger "Chris M. Thomasson" <no@spam.invalid> - 2014-07-22 12:16 -0700

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