It's arbitrary when we create a system out of thin air -- given different axioms (and findings over time) "math" would be extremely different.
Think about it this way -- there's no particular reason computers HAVE to be on a binary system. It's convenient for many a reasons, but there was an era where computers were analog and continuous, and it's feasible to engineer systems using a higher base and be discreet (and many have researched exactly this.) Quantum computers work even more differently too.
Think about it this way -- there's no particular reason computers HAVE to be on a binary system. It's convenient for many a reasons, but there was an era where computers were analog and continuous, and it's feasible to engineer systems using a higher base and be discreet (and many have researched exactly this.) Quantum computers work even more differently too.