The easiest way to visualize the difference is to ask this question;
What’s more accurate, a digital or analog (with hands) clock?
The digital clock is only as accurate as how many decimal places are represented. Maybe to the hundredth of a second on a fancy watch.
The mechanical (or analog) clock has a second hand which is continuous, technically if you blew up the clock face big enough, there’s no fraction of a second the second hand is not passing and therefore infinitely more accurate.
Digital vs analog audio is the same concept, there is nothing lost with the groove of a record while a tape or digital recording is limited to how many samples the medium allows.
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