Base converter with fractions?

[Joe Horn]

Thanks, Han! Great program!

(01-27-2017 05:00 AM)Han Wrote:  

(01-26-2017 05:18 PM)Joe Horn Wrote:  Unfortunately that amount of initial roundoff introduces a great amount of error. Smith's BASECALC converts 3.142 (decimal) to "3.06646410512335" (base 7), which it converts cleanly back to what we started with, namely 3.142 (decimal), whereas "3.0665" (base 7) converts to 3.1420241566 (decimal), which is not what we started with.

It appears that the back-conversion to 3.142 is only "clean" due to rounding (limited number of significant digits).

That's correct. BASECALC uses ordinary floating-point reals for base 10 numbers, which in RPL means that they are rounded to 12 significant digits.