It's already on a three-way switch with the bottom
of the stairs... do they
make 4-way switches?
I don't know if you do wiring the same way across the Pond, but over here
the classic 2-way switch circut has a SPDT (changeover, form C) switch at
each end, The fixed contacts are linked, that way there's a connection
betwwen the 2 moving contacts if the switches are set to the same
positions, and no connecion if theyr'e in opposite positons.
To get a 3-way switch you conenct an ;intermediate switch' in the 2 wires
that link the fixed conatacts of the 2 end switches. This switch is a
4-terminal device (obviously) and is electrically the same as a reversing
swithc (that is, a DPDT switch with the fixed contacts of the 2 poles
cross-coupled).
Since the intermeidate switch effectively reverses the connections
between the fixed contacts of the end switches, what you end up with is a
circuit where :
With the intermediate swithc in one state, theres a connection if the 2
outer switches are set the same way
And with the intermediate swtich in the other state there's a connection
if the 2 outer switches are set in opposite ways.
A moments though will make you realise this is nothing other than a
3-input partity generator.
And a bit more thought will show you that you can have as many
intermediate switches as you want. So a 4 way circuit can be obtained by
just adding one more intermediate switch.
-tony