Closed form of infinite product

Question

Is there a closed form solution for the infinite product? $$\prod_{i=1}^{\infty} \bigg(1-\frac{1}{2^i}\bigg) $$

And if so what is it?

Answer 1

$$\prod_{i=1}^{\infty} \bigg(1-\frac{1}{2^i}\bigg)=\left(\frac{1}{2};\frac{1}{2}\right)_{\infty }$$ where appears the q-Pochhammer symbol.

Its decimal value is $0.28878809508660242128$

Similarly $$\prod_{i=1}^{n} \bigg(1-\frac{1}{2^i}\bigg)=\left(\frac{1}{2};\frac{1}{2}\right)_n$$