JT
Posts:
1,277
Registered:
4/7/12


Re: 1/3 partitioned expansion in different bases
Posted:
Feb 1, 2013 4:43 AM


On 1 Feb, 06:31, JT <jonas.thornv...@gmail.com> wrote: > Sorry it was late night my head was not clear i try again. > > 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 3. > > And number 6 be 13 number 9 be 23 do you people agree? > From this (may) also follow that 1/3 in such a number system would be > expressed .1 do you people agree? > And 0.999... would be expressed as 0.3 or.......? > > I could easily adjust my base changer to this, and in this zeroless > number system 3+1/3 would be expressed 3,1 > 6+1/3 would be expressed 2,1
I have no idea how this happens of course it should be 13,1 the details just slips my mind.
> > Now can you people see any benefits from my new bases without 0. It > seem that unfinished decimal expansion vanish in certain bases or? > > How does this basesystem make you feel angry, annoying or just > uninteresting? > > Is there 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?

