Of course 10 and 2 are not the only possible bases to use for a number system. In fact, any integer (or even non-integer) base can be used. There are two more bases, however, that are commonly used when working with computers.
The octal system uses 8 as its base. Thus we have
because
We only need eight "digits" for octal numbers: 0,1,2,3,4,5,6,7.