Eli5: What is the real difference between analog and digital?

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I tried looking it up, and my brain just wasn’t making sense of it, but I haven’t had coffee yet so.

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Analog signal can have any value and digital, if binary, can have only two 1 or 0(true or false).

Why digital is better? Because the signal has less distortion and can have better error correction implementation.

How you ask? Imagine a bottle of water, full is 1 and empty is 0. Let’s say I have a full bottle of water(a 1), now I will add a distortion in it, so I’ll drink 1/4 of the water, in the end the bottle has 3/4 or more than half of it’s content, a computer will still interpret it as if it were a full bottle even though it’s not. Which is not true for analog signal, the analog will interpret the imperfection.

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