We use a base 10 number system, computers use base 2, but is it possible to have a number base that is a fraction, irrational, or transcendental?

Question

loser66 · Answer

base 2 to base 10 is enough to kill me. you still want more???

allank · Answer

Yes, it is possible to have different numbering systems based on the need. 
Check out Hexadecimal (base 16) which is used in computing too.

wikiemol · Answer

Well I know you can have integer bases, but what about like base π for instance?

anonymous · Answer

Take a look at this. I think it could be possible to have rational numbers, but don't take my word for it. Irrational numbers such as pi and e would be a different story. http://www.wikihow.com/Convert-from-Decimal-to-Hexadecimal

anonymous · Answer

In other words, just keep dividing whatever you want to convert to the base you want to convert it to and take the remainders.

anonymous · Answer

Only natural number bases make sense I'm afraid to say.

anonymous · Answer

Would it make sense to have a fraction of a symbol in the set of symbols you are using to count?

anonymous · Answer

So you are restricted to the positive integers (natural numbers).

anonymous · Answer

good point. Do you major in Computer Science or Engineering by any chance?

anonymous · Answer

Yes math and compsci

anonymous · Answer

Oh, I see. I learned a little bit about binary and converting bases, but I forgot most of it.