```Date: Feb 1, 2013 12:31 AM
Author: JT
Subject: 1/3 partitioned expansion in different bases

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 dohave unfinished decimalexpansion.But has it really in base 3???And this is where number zero gets interesting, because when you usezero number 3 is expressed 10 in base 3 right?But in a number system without 0 it should *undoubtly* be expressed asingle 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 beexpressed .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 zerolessnumber system 3+1/3 would be expressed 3,16+1/3 would be expressed 2,1Now can you people see any benefits from my new bases without 0. Itseem that unfinished decimal expansion vanish in certain bases or?How does this basesystem make you feel angry, annoying or justuninteresting?Is there something deep profound to all this, if i just couldrememberwhat. I think it has something todo with factoring.For now i just wants commenting upon the proposed new bases withoutzeros good or bad, advantages disadvantages?Would you like me make a version of my base changer where 1/3 do nothave unfinished decimal expansion and all bases expressed withoutzeroes?
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