[singularity2001]

That's a very good observation. We still could need a (new) term for this common type. Maybe floatbit, softbit, qubit(sic), pot, unitfloat, unit01 or just unitinterval as suggested?

This begs an interesting tangential question: Which programming languages allow such resticted intervals as types?

type percentage:=int[0,100] type hexdigit:=int[0,15] …

since this might be overkill, sane programming languages might encourage assert statements inside the functions.

[m12k]

floatbit is good starting idea, but maybe too long to be catchy. How about a flit?