If you dig a little deeper, you'll quickly find out that chemical processes are actually anything but analog deep down at their core. It's quantum in nature and therefore discrete. Or digital, if you will, since discrete steps can be described by discrete numbers.
Digital camera does not "make images" any more than the film camera does. In fact, it is essentially the very same device in both cases. A dark chamber with the lens on one end and light-sensitive medium on the other. The aperture is contained in the lenses while the shutter can reside either in the lens or in the camera itself in front of the light-sensitive medium.
It is just a matter of simple physics - a calibrated opening and a mechanical shutter let through a controlled amount of light to hit the light sensitive medium, which in turn "remembers" the light in miniscule increments. How it does it is the only major difference.
No, they are not. They are actually quite the opposite - the light consists of discrete wave-particles and the film emulsion consists of miniscule but finite granules of light sensitive material. The dimension of these particles called grain varies from film to film.
Isn't it the time to put an end to this entire "analog" vs. digital nonsense?
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