[Math] How many binary bit strings of length 32 are there

Question

How many binary bit strings of length 32 are there?

I think I know the answer but I'm not sure…wouldn't it just be $2^5$ ?

Answer 1

Each one of the $32$ bits can be either $0$ or $1$: So there are two options per bit.

That gives $$\underbrace {2\cdot 2\cdot 2\cdot \cdots \cdot 2}_{\large 32 \,\text{ factors of 2}} = 2^{32}$$ possible strings of length $32.$

Indeed, in creating a string of length $n$, there are $2^n$ possible such strings.