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Have you ever wondered how its possible to scratch a CD or DVD and still have it play back whatever its storing? The scratch really does affect the 1s and 0s on the disc, so it reads off different data from what was stored, but unless its really scratched up, the bits it reads are decoded into precisely the same file that was encoded on to it, a bit-for-bit copy, despite all those errors. Theres a whole pile of mathematical cleverness that allows us to store data, and just as importantly to transmit it, in a way thats resilient to errors. Well, actually, it doesnt take too much cleverness to come up with a way to do this. Any file, whether its a video, or sound, or text, code, an image, whatever, is ultimately stored as a sequence of 1s and 0s, and a simple strategy to correct any bit that gets flipped would be to store three copies of each bit. Then the machine reading the file could compare these three copies and always take the best two out of three whenever theres a dis