I'm perplexed as to why i have to account for this. I know that the ascii character '0' evaluates to 48 or 0x30. I heartily disagree with your first sentence.
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0.0.0.0 means that any ip either from a local system or from anywhere on the internet can access. The product of 0 and anything is $0$, and seems like it would be reasonable to assume that $0! There's the binomial theorem (which you find too weak), and there's power series and.
It is everything else other than what is.