It all depends on the brand of the bindings and the boot itself. Some companies may have a size range of 8-10 where-as another company or even model may range from 9-11. What I always do is go to the manufacturer's website and check out the stats for the product I am interested in.
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If you're referring to a mens binding, then generally a men's 5-8 but this can very quite a bit by brand.
If your question is whether or not a size 13.5 Burton boot will fit a medium binding, then no you would need a large.
Not usually. A large binding fits size 9-13 so your right in the middle of large.
Yes. Medium boots will fit the same. But 11 size boots will not, I would go with large.