I’ve always understood that a digital representation of an analog wave form looks like this:
Because you know, ones and zeros and all that. Well it turns out that the stair step wave form is simply an incorrect representation of a sample. We should actually be using a lollipop graph because there are no values between the points.
Most importantly if you convert that sample back to analog you get the original smooth wave form. I learned this and so much more in a nerdtastic video all about analog to digital conversion the noise it generates and how to use dithering to reduce it. I probably only understood half of what he said and did not expect to finish the full video but I got enough to keep me engaged through the end. You should at least watch the first 8 minutes.
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