JT
Posts:
1,388
Registered:
4/7/12


Re: 1/3 partitioned expansion in different bases
Posted:
Feb 1, 2013 5:16 PM


On 1 Feb, 15:06, Frederick Williams <freddywilli...@btinternet.com> wrote: > JT wrote: > > And 0.999... would be expressed as 0.3 or.......? > > What are you asking? Does 0.9 recurring (in base 10) have the same > value as 0.3 (in base 3)? No, 0.9 recurring (in base 10) has the same > value as 1.0 (in base 3). > >  > When a true genius appears in the world, you may know him by > this sign, that the dunces are all in confederacy against him. > Jonathan Swift: Thoughts on Various Subjects, Moral and Diverting
No what i say is that my number bases do not require 0, actually it is pointless. Example using base 3 (but is of course appliable to any base)
1=1 2=2 3=3 4=11 5=12 6=13 7=21 8=22 9=23
Well you get the hang of it, and what follows is... 3,333...=3,1 6,333...=13,1 9,666...=23,2
And as you can see the decimal expansions finite.

