On 8 Nov 2022, at 15:32, 
numpy-discussion-requ...@python.org<mailto:numpy-discussion-requ...@python.org> 
wrote:

Thanks for the proposal.  I don't have much of an opinion on this and
right now I am mainly wondering whether there is prior art which can
inform us that this is relatively widely useful?

Base-2 (bit) rounding is implemented in Numcodecs 
<https://numcodecs.readthedocs.io/en/stable/bitround.html#module-numcodecs.bitround>
 in the context of data compression.
As pointed out by M. Klöwer et al. in  
<https://doi.org/10.1038/s43588-021-00156-2> "Rounding bits without real 
information to zero facilitates lossless compression algorithms and encodes the 
uncertainty within the data itself."

I'm not an expert, but I never encountered rounding floating point numbers in 
bases different from 2 and 10.

Stefano
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