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are digital signals analog signals also

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Absolutely! Particularly at high speeds. You need to worry about reflections, impedance matching, loading, etc.
 
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Can mean either time- or amplitude-discrete. What are you particularly looking for?

If you evaluate a digital input value, it will be either '0', '1' or undefined, e.g. illegal logic level. In so far reading a digital signal abstracts from analog properties.

Quite a different thing are digital signals representing an analog signal.
 

Everything is analogue*, it's just a matter of how we generate, process and interpret that analogue signal to give it, transfer, and infer from it information.

*That's not true, everything is digital thanks to quantum physics. That's not something that usually needs to concern us though.
 

Any signal is analog if the signal has a frequency and an amplitude this does not exclude DC signal they are signals with 0 frequency
 

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