How do I expand $\sqrt{8}$ in base $\frac{1}{2}$

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Instead of binary, I need the base $b=0.5$

There is an online tool or an easy software that does change of base to non integer bases?

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Following Henning Makholm comment, since the binary expansion of $\sqrt(8)$ is 10.110101000001001111001100110011111110011101111001100100100001000101100101111101100010011011001101110101010010101011111010011110...

then the $\frac{1}{2}$ expansion should be that string inverted. I find weird that it has infinite terms.

I didn't expected some trolls downvoting this just because they ignore the answer. I also would like if I could reward Henning Makholm in some way.