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Digitisation requires to conversion of a real value into a binary representation. Take digitisation of a microphone signal:-

A voltage will be output by the microphone and must be periodically sampled, you therefore have a finite amount of samples.
Example:- You could sample at either 100 times per second (100Hz) or once every 4 seconds(0.25Hz), realise the difference.


You must also store the voltage in a finite number of bits, therefore for n bits you have a finite accuracy which is 1/2^nth of a volt (if your MSB is 1volt)
Example:- You could store a voltage to the nearest volt or the nearest 1/256th of a volt, realise the difference here too?

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Q: Why doesn't the digitisation of data produce exactly the same data as the original data?
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