Re: doubt regarding floating point arithmetic Rounding schemes/ Truncation schemes

In article <[EMAIL PROTECTED]>,
vc  <[EMAIL PROTECTED]> wrote:
>Rounding schemes/ Truncation schemes
>
>The choice of schemes decides the max error and bias.

Correct.

>Zero bias schemes on an average cause little error but there is a large 
>chance htat they might hav a bias too and not end up with an error of 
>zero. Am I right or wrong

I am not quite sure what you mean, but I think that you are roughly
right.  Most zero bias schemes have no bias, assuming that the errors
are uniformly distributed.  True probabilistic (stochastic) rounding
has no bias, whatever the distribution of errors, but has twice the
mean square error and makes debugging slightly (!) harder.

>What are the rounding schemes / truncation schemes in use nowadays

Almost always IEEE 754, or minor variants of it.


Regards,
Nick Maclaren.