scope
scope
You should take the Wiki entry (and could we get a link to it, please ? ) with a grain of salt.
The scope's bandwidth figure usually refers the point at which the vertical amplifiers's gain has dropped by 3dB. What does this mean ? The frequency response typically begins to rolloff before the -3dB point, and continues beyond it. So technically the scope can display signals beyond it's rated bandwidth, but with an amplitude error.
So, when feeding a harmonic-rich signal, such as a square wave, into the scope, the edges of the waveform will become progressively rounded the closer you get to the frequency the -3dB point is at. It's exactly as if you're passing the signal through a low-pass filter, you still get a signal, just not what you started out with.
The trouble with pulse waveforms is that they, if you consider the cycle time, can be of relatively low frequency, but have very fast rise times (the transition from 10% to 90% amplitude is usually called rise time). Take the 8088 clock. If you look at the specs for a 8088 -1, you see that the clock runs at 10 Mhz, but the maximum (i.e. worst-case allowed) rise & fall times are 10 nS, which would be the period of a 100 Mhz sine wave. So even though it's fairly low-frequency, you've got a lot of harmonics, and to capture that definition is what you need the bandwidth for.
Usually you can make do with the x5 rule of thumb, use a scope that has a bandwidth five times that of the period you want to look at, so for an 8088, a 100 Mhz scope would do nicely.
If you want to look at the clock for a 60 Mhz Pentium, you'll still see a signal on the 100 Mhz scope, but the edges will be very rounded, and you might even have problems with the scope triggering stably, but you'll still see something. The clock for the P60 is only 60 Mhz, but the maximum rise & fall times are already 1.5 ns, which is way out of the league of the poor 100 Mhz scope.
If you just need to see if a signal is there, bandwidth isn't necessarily a concern, if you're doing deeper analysis such as if the pulses are shaped correctly, or ihow much jitter is present, then you need higher definition.
There's a brief overview on how to match bandwidth to application here:
http://cp.literature.agilent.com/litweb/pdf/5989-5733EN.pdf
or, if you're a Tektronix fan, here:
http://www.tek.com/Measurement/scopes/selection/pdf/55W_13768_2.pdf
patscc