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



JT
Posts:
1,448
Registered:
4/7/12


Re: 1/3 partitioned expansion in different bases.
Posted:
Feb 1, 2013 12:12 AM


On 1 Feb, 06:06, JT <jonas.thornv...@gmail.com> wrote: > 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?



