# Is there a real number, that is proven to be normal in every base, whose digits can be enumerated by an algorithm?

To clarify, I mean every natural number base $b$ where $b \geq 2$. If so, what is the algorithm to generate the number (and what is the number, if it has a name)?

• @ChrisEagle Let me be more explicit: I had read B&F's paper before and I saw nowhere in it the value of the first bit $b_1$ of the normal number $b$ (despite the title of their section 3.1...). Hence I find rather odd the claim by the authors (copied on the WP page) that their algorithm indeed "generates" a number $b$. Before declaring that the answer to the OP question is "yes", at least some explanations about the meaning of some words used in B&F seem to be in order. – Did May 31 '13 at 11:01