Some good comments here. I’d like to add that what’s so great about logic gates, is that they sit at a crossover point between electricity and math. Boolean math can be used to perform any other math, and electricity can be used to perform boolean math incredibly fast.
You may enjoy (or tear your hear out at) the web-based nandgame.com, where you start by constructing logic gates, then use them as building blocks for more and more complex functions, and in the end put together a rudimentary computer.
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