Re: rational to floating point

Thant Tessman <thant@acm.org>
14 Mar 2003 11:19:35 -0500

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From: Thant Tessman <thant@acm.org>
Newsgroups: comp.compilers
Date: 14 Mar 2003 11:19:35 -0500
Organization: XMission http://www.xmission.com/
References: 03-03-035
Keywords: arithmetic
Posted-Date: 14 Mar 2003 11:19:35 EST

I wrote:


> The question is: Under what conditions will a rational number produce
> an infinite stream of digits for a given base? [...]


I got confirmation in sci.math. For a rational number to have a
non-repeating 'decimal' representation for a given base, the denominator
of the rational number can't have any prime factors that are not also
prime factors of the base. So, for example in the case of base ten, the
denominator can't contain any prime factors other than two or five.


-thant


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