Old school TVs send their signal directly to the screen and speakers with no processing. A digital TV would just show a black screen and silence when there is no incoming signal, with maybe an error message. The TVs that do show snow, also make a hiss because the sound is embedded in the same signal as the image. You get both or neither.
The way that this signal was encoded is incredibly complex: [https://en.wikipedia.org/wiki/NTSC#Transmission_modulation_method](https://en.wikipedia.org/wiki/NTSC#Transmission_modulation_method)
The snow on the screen and the hiss you hear are two examples of white noise. They both come from the random radio signals that surround us all the time. At least some of that noise is actually from the remnants of the big bang, called the microwave background radiation.
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