

They’re not writing in binary. They’re defining a base 10 number that is 0.11, followed by a single 0, then 1, then two 0s, then 1, then three 0s, then 1, and so on. The definition ensures that it never repeats, but because it only contains 1 and 0, it would never contain any sequence with the numbers 2 through 9.
At least where I’m from (Canada), bread comes with a clip holding the bag shut, not a twist tie. “Re-using the clip” means the clip the came with the bag. You can see that it’s a different shape in the picture. This would be the equivalent of re-using the twist tie, if that’s how the bread is packaged where you live.