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Understanding IP addressing and subnetting

I have read a lot of articles/tutorials on IP addressing and subnetting, but I have always had difficulty understanding and recalling. In your opinion, what is the best and easiest way to learn and understand them?
I wrote a book a few years back that tries to explain IP addressing. It's available free online now as an e-book. To answer your question, I think the best way to understand IP addressing and subnetting is to forget all of the tricks and shortcuts and take the time to understand the binary/Boolean math behind it. If you haven't worked with Boolean math before, start there. Once you understand that, IP addressing will be simple.

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