Re: Decimal versus binary arithmetic was Re: J4 - presentation/discussion on "Fu

On Tue, 01 Apr 2008 12:44:49 GMT, "Michael Mattias" <mmattias@talsystems.com
> wrote:

>"Robert" <no@e.mail> wrote in message
> news:jbd3v3tomdipsgke42j5cklujltahbtjle@
4ax.com... 
>
>That's because you did not do it in binary, you did it in decimal.
>One-fifth is rational in decimal, but irrational in binary.

Nope, all three numbers are binary INTEGERS. The fallacy is in thinking of q
uotient as a
fraction. It is not a fraction, it is an integer.  The compiler SCALED two i
ntegers by
multiplying by powers of 10, then divided two binary integers to get a quoti
ent with no
fraction. Binary 10 divided by binary 5 gives binary 2.

101111101011110000100000000 / 1100001101010000 = 11111010000

For ease of reading,  in base 16 and 10

5F5E100 / C350 = 7D0

100000000   / 50000  = 2000