> I have no idea how broadly it is known.
Pretty much, what Salva pointed out is discussed at university in CS in the context of numeral systems to basis n, before introducing binary system.
By intuition I'd say it's also connected to some school math, like the theorem that every periodic fraction can be expressed in the form of
n+(m/9...9) with n,m in N
like
DB<3> p 3+7834/9999
3.78347834783478
This works in any number system.
What I learned was the word "fulguration". ;-)
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