Computer SCIENCE is that ugly thing that tells us that three-valued logic gives rise to 19683 distinct binary logical operators, while two-valued has 16.
Computer SCIENCE is that ugly thing that tells us that if you want a computer language over a three-valued logic to be expressively complete, then you need to implement all of those 19683 logical binary operators one way or another. In the worst case, that's 19683 operator names for the programmer to remember. And you come here claiming that it's "trivial" because you have a "sense" of what the results ought to be ? That proves just one thing but site policy probably won't allow me to spell that out.
(In case you were wondering what the 16 names are in two-valued logic : they aren't needed because the system being two-valued gives rise to certain symmetries that gracefully allow us to reduce the set we need to remember to just {AND OR NOT} (or some such) which beautifully parallels the way we communicate in everyday life.)