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Why is data lost when analog data is converted to binary (i.e. is digitalised)?

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Why is data lost when analog data is converted to binary (i.e. is digitalised)?

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Analog data is continuous while digital data is discrete. An analog signal can assume all of the infinite number of values in an interval; when it is digitized, only finitely many values are available, so each must must represent infinitely many nearby values. What is lost is the knowledge of which of infinitely many values it represents.

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