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

CAN u please explain this part i dont understand
True probabilistic (stochastic) rounding
> has no bias, whatever the distribution of errors, but has twice the
> mean square error and makes debugging slightly (!) harder.

Nick Maclaren wrote:

> 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.  

> > What are the rounding schemes / truncation schemes in use nowadays
>
>
> Almost always IEEE 754, or minor variants of it.
>
>
> Regards,
> Nick Maclaren.