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Topic: 1/3 partitioned expansion in different bases.
Replies: 4   Last Post: Feb 1, 2013 1:12 AM

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JT

Posts: 1,150
Registered: 4/7/12
Re: 1/3 partitioned expansion in different bases.
Posted: Feb 1, 2013 12:15 AM
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On 1 Feb, 06:12, JT <jonas.thornv...@gmail.com> wrote:
> On 1 Feb, 06:06, JT <jonas.thornv...@gmail.com> wrote:
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> > How is fraction 1/3 expressed in base 3, of course in base 10 it do
> > have unfinished decimalexpansion.
> > But has it really in base 3???

>
> > And this is where number zero gets interesting, because when you use
> > zero number 3 is expressed 10 in base 3 right?

>
> > But in a number system without 0 it should *undoubtly* be expressed a
> > single 1. And number 6 be 11 number 9 be 12 do you people agree?

>
> > From this also follow that 1/3 in such a number system would be
> > expressed .3 do you people agree?
> > I could easily adjust my base changer to this, and in this zeroless
> > number system 3+1/3 would be expressed 1,1

>
> > 6+1/3 would be expressed 2,1
>
> > Now can you people see any benefits from my new bases without 0. It
> > seem that unfinished decimal expansion vanished or?

>
> Ooops of course 9 should be expressed 21 in the zeroless base system.
> How does this basesystem make you feel angry, annoying or just
> uninteresting?
> There is something deep profound to all this, if i just could remember
> what. I think it has something todo with factoring.
>
> For now i just wants commenting upon the proposed new bases without
> zeros good or bad, advantages disadvantages?


Would you like me make a version of my base changer where 1/3 do not
have unfinished decimal expansion and all bases expressed without
zeroes?



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