The architecture of a computer system or program in terms of how many bits compose the basic values it can deal with.(noun)
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Use "bitness" in a sentence
"But when we see that error message you quoted, there is no clue that the problem is related to the "bitness" of the browser."
"Depending on the complexity of the CRM topology that your plug-in is running in, the "bitness" of the various processes that will execute your plug-in may be incompatible with each other."
"Mixed 'bitness' (I think that is the new cool term)."