# Illustration DFA - Binary representation of n divisible by 3

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Sketch of a deterministic finite automaton (DEA) for the following regular language (type 3):$$L ~=~ \{ w \in \{0,1\}^* ~:~ w \text{ is the binary representation of } n \in \mathbb{N} \text{ which is divisible by 3 (possibly with leading 0s)} \}$$

This is an infinite language, with, for example, the following words:$$L ~=~ \{ \varepsilon, 0, 1001, 1011010, ~... \}$$