# Basic descriptions

In which of these bases does there not exist a self-descriptive number?

Note: A self-descriptive number $$\overline{x_0 x_1...x_{b-1}}$$ in base $$b$$ is a number $$b$$ digits long that contains $$x_0$$ $$0$$'s, $$x_1$$ $$1$$'s, and so on.

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