Characteristic of $\overline{\mathbb F_2}$

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I have a very basic algebraic question in mind. I am not an algebraist, but this question naturally pops up in my work. Given a field, which consists of two elements $\mathbb F_2$, and its algebraic closure $\overline{\mathbb F_2}$, what is the $char(\overline{\mathbb F_2})$? Is it $2$?