Alright, before all of you attempt to cut up any more plugs, you have to understand that there are some amps which are designed to explicitly have a pair of wires.
For the Roland Cube series (I used an old cube 15 model), the 2 pin configuration worked fine on its own (as in from guitar direct to amp).
Most of you will experience buzzing when plugging in an efx pedal or powering your efx pedal with external power.
For the first case, if you experience buzzing/hissing/squeeling without external power, try your very very best to invest in a good guitar cable (planet wave's higher-end cables are a great example).
What is happening is your cheap (unshielded) cable is acting as a pickup antenna for useless noise, of which your distortion pedal WILL amplify (distortion pedals are basically preamps meant to drive signal voltages to clipping voltages offered by clipping diodes).
So if you install a well shielded, high quality cable to between your guitar output to pedal input (pedal output can use cheap assed cable as long as it works), you should be able to cut a significant deal of buzz/hiss/squeel.
For the case of you guys powering your efx via external power supply and experiencing more of a buzzing (not so high pitched, a bit of a bassy hum in some cases) then you have a totally different issue altogether.
Assuming you understand electronics, your problem this time is that even though your power supply promises DC power, it isn't as stable as a battery's DC output.
This is because your powersupply is tasked with transforming a full form sinosudial AC wave form (that alternates at 50-60Hz, a very low bass frequency range) to DC by means of rectification.
This rectification (full bridge in most external powersupply cases) cuts out the -9V portion of the wave form but doesn't smooth out the +9V portion.
Coupled by the fact that your supply uses full bridge rectification, you will experience a pulsating +9v current that cycles between +9v and 0v at 100 - 120 cycles a second (in your distortion circuit, it will translate to a bassy hum-like buzz).
Side note: to read up more on rectification click
here. D&T electronics or yr1 Electrical/Electronics/Mechatronics students; this is one of the important topics.
Now, most power supply manufacturers will provide a large uF rating capacitor to attempt to smooth out the pulsating DC current to a smoother (albeit unstable) current. BUT this will NOT be enough for distortion circuit use.
Most other distortion circuits DO include a few capacitors to attempt to smoothen it out a bit more, but it's all useless in my opinion.
CONCLUSION (I'm sure most of you would rather i just say this, sorry I couldn't help myself).
Try to refrain using external power on your distortion pedal, you can still use it on your chorus or delay pedal and the like.
Or you can attempt to build your own linear 9V DC supply with capacitance multiplier circuit (a very popular solution for true tube/class-A hi-fi enthusiasts) just for your distortion kit. Schematic
here (last pic is for full fledged DC filtering).