DSP is another kettle of fish.
I assume you have a copy of the Art of Electronics
https://en.wikipedia.org/wiki/The_Art_of_Electronics Easy to understand chapters on all aspects of electronics, analog and digital. Owning a copy is essential.
In general you apply a voltage to an ADC input taking great care no to exceed its input range- that will likely kill it stone dead.
Often a the slope and intercept of the signal will have to be matched to the ADC range. You couldn't expect to digitise bipolar signals without some level shifting.
You then send a command over a digital interface to start the conversion. You read it back via a digital interface.
How you command the ADC and read it depends on the type of ADC. Serial or parallel ports type, external control and status pins etc etc.
Is it internal to a micro controller or processor, what conversion speed do you want? There are many ADC types. Some of the more common types are covered in the notes attached.