A binary operation means that you are taking two things in and you are getting one thing out; for instance:
\begin{equation} f: (\mathbb{F},\mathbb{F}) \to \mathbb{F} \end{equation}
This is also closed, but binary operations doesn’t have to be.
A binary operation means that you are taking two things in and you are getting one thing out; for instance:
\begin{equation} f: (\mathbb{F},\mathbb{F}) \to \mathbb{F} \end{equation}
This is also closed, but binary operations doesn’t have to be.