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


Re: 1/3 partitioned expansion in different bases
Posted:
Feb 2, 2013 12:06 AM


On 2 Feb, 03:54, forbisga...@gmail.com wrote: > On Friday, February 1, 2013 1:10:12 PM UTC8, JT wrote: > > You are confused the zeros in 1/2 1/4 etc etc is imaginary not real. > > And for the endless expansion of digits in 1/3, 1/7 i offered a > > solution using bases without zero. > > And what of x in > x = 1  1 > > Now construct 1/9th in base 3. > > 0.[9] in base 10(given 9 is followed by 10) > 0.[2] in base 3 is the same. > > x = 0.[2] > 10x = 2.[2] > 10x  x = 2 > 2x = 2 > x = 1 > > I can disagree with Frederik Williams about > .3 base 3 = 1 base 3 in your numbering system > Now what was the benefit again? Why do I want a > 3 in base 3?
In base 3 1/81=(4)1 1/243=(5)1
You get terminating digits and no rounding errors.

