I think I get it, the usefulness of a "scope" in this situation is it's ability to show brief sharp pulses, which are common in computer circuits. I have noticed that one old scope is different from another in it's ability to display a pulse somewhat independent of it's MHz rating
All the signals in an Arduino are
analogue. However, the receiving logic gates can accurately
interpret them as digital signals, if (and only if) they meet the requirements in terms of voltage and timing.
The scopes USP is that it can show you the voltages (>X for a logic 1, <Y for a logic 0) and the relative timings (t
setup and t
hold). For the latter you need two channels at least, and sometimes more is convenient. This is "ensuring signal integrity".
After you have verified signal integrity, you can choose to "flip to the digital domain" and debug digital signals with a logic analyser or printf statements. A logic analyser will have many more inputs than a scope, and can trigger on patterns rather than just voltage levels. It can also ignore "uninteresting" signals, e.g. only record what happens at a clock signal. That can be helpful.
On the other hand, if you look at digital signals with a scope, you can (and sometimes the scope) can interpret the waveforms visually as digital signals.
So, there is overlap between scopes and logic analysers, as well as important differences. Choose a screwdriver for screws, and a hammer for nails
So Perhaps one of the old HP logic analyzers that doubles as a 100-200 MHz scope might be a good choice for the OP.
Might be pretty inexpensive and the OP will also get a usable scope. This might enable further experimentation and descent into TE acquiring habits.
As an aside, My HP 1980 has a digital storage for waveforms that appear on the screen. It takes about 3-4 seconds for it to scan the waveform and then display it as a series of dots. This feature has very limited usefulness. Interesting, but dumb. as compared to today's digital scopes.
Wally
I designed and built my first computer with LEDs and a multimeter. It required care and thought, but that is not a bad thing!
Use the tools you have. When you can't think of a way to use them to see what you need, you will
know what you need to obtain.
Simple example. I've just been preparing a Tek 2465DMS scope for fleabay. I had to replace the infamous RIFA capacitors, and then found everything worked except that it wouldn't display current. Now that scope has many advanced (for 1984!) features including a microprocessor, and the problem could have been in many places, digital or analogue. In the end I used a multimeter to find where the signal had not reached, and eventually spotted a wire had separated from an input relay. Resolder it and job done.