I was going to tack this onto the thread about pi , but decided that would be a hijack. This site base was cited. Now I know that is a good location to dig up arcane math info, so it wouldn’t surprise me if they’re right and I just don’t know something (quite the admission ), but it says
A real number x can be represented using any integer number b as a base (sometimes also called a radix or scale). The choice of a base yields to a representation of numbers known as a number system. In base b, the digits 0, 1, …, b-1 are used (where, by convention, for bases larger than 10, the symbols A, B, C, …are generally used as symbols representing the decimal numbers 10, 11, 12, …).
(it does mention irrational and transcendental bases later - my question doesn’t relate to those). Well, 0 and 1 are certainly integers. How can you represent numbers using 0 or 1 as a base?!