Re: CPU representation of numbers?

On Sun, 01 Jul 2007 00:10:37 +1000, mnplyt wrote:
Dave Seaman wrote:
On Sat, 30 Jun 2007 19:22:55 +1000, mnplyt wrote:
Not being much of a mathematician I am looking for information how
modulo arithmetic is formally defined with abstract algebra. Galois
GF(2) seems apt when thinking about processors however for some reason I
think there would be a better description.

Have you tried Google?



Yes, a many hours. I have bits and pieces but nothing compared to
definition of say real numbers.

I don't understand what you mean by that.

Do you have any suggestion?

The Wikipedia entry looks reasonable. Is there something specific you
are looking for that is not explained there?

Notice that the "mod function", as commonly used in computer science, is
not a part of the mathematical definition. Instead, we talk about the
congruence relation and about the ring of congruence classes defined by
that relation, as explained on the Wikipedia page.

<http://en.wikipedia.org/wiki/Modular_arithmetic>

--
Dave Seaman
Oral Arguments in Mumia Abu-Jamal Case heard May 17
U.S. Court of Appeals, Third Circuit
<http://www.abu-jamal-news.com/>
.