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XeF8 doesn't existXe can't have +VIII oxidation state.It might've been XeF6
Wikipedia gives two different ways of doing it, depending on whether you have a lewis structure or not, but when I use both ways on the same compound (XeF8) I get two different values. Does that happen a lot? Do you just assume the one based on the lewis structure is right?
What values are you getting and how are you getting them? You should be getting the same value regardless. I believe (and I don't remember all the oxidation state rules... it's been a while) that halogens are always -1. So each fluorine has the oxidation state of -1. Since XeF8 (are you sure it's not XeF6?) is overall neutral then Xe has to be +8. What are you getting?