1 1 0 1 1 1 0
- 0 0 1 0 1 1 1
----------------
= 1 0 1 0 1 1 1
or
t t f t t t f
- t f t t t
----------------
= t f t f t t t
... by your argument trinary uses logical catagories true, false, and maybe ...
... and sometimes notates them using the symbols '0', '1', and '2', which coincidentally are also the symbols conventionally used to represent numbers zero, one, and two.
.. by the time we reach the decimal system we have true false, possibly, maybe, and all variants there between.
Please. let's use correct terminology. Boolean logic deals with true/false which happens to adapt well to a binary numerical based system. But Boolean logic and binary number systems are different things.