Sorry about that and thank you for your patience.
Top set of six wires
Red: LSPK
Yellow: EXT
Black: +B
White: +3_3Y
Blue: GND
Brown: +VCC_TUNE

Bottom wires by flat grey wires
Black: GND
Green: LSPK
Blue: L-EXT

There is continuity between both of the top battery terminals and both blue wires labeled GND and L-EXT. I attached a picture of the points that have continuity. In other words I can touch the top of one battery terminal and either blue wire and get a tone. Then I can touch the top of the other battery terminal and either blue wire and get a tone.

 

I assumed that you would remove the batteries to do the test. I should have specified that you should. Did you note the resistance readings when you did the test ? If so what were they ? If you did not remove the batteries repeat the test and note the resistance readings readings. Also test between the + battery terminal and the black wire. When you did continuity tests between the ends of the 6 conductors in the cable between the left and right headphone did you just rely on the tone to indicate continuity or did you note the resistance readings ? If you did not note the resistance readings repeat the test. (Some meters can sound the tone for resistances of several tens or even hundreds of ohms.)

Les.

 

I did not know you had to get a reading I thought just the tone was good enough. With the batteries removed, I now only get a reading from the battery terminal labeled CUT. The reading from the top battery terminal to the blue L-EXT was 32.5 and 1.7 to the blue GND. The reading between the black wire and the positive Q100 was 17.4.

Reading from one side of the headphones to the other were:
Brown to brown 2.0
Black to black 2.1
I don't know if I'm just having trouble or what but I can't get a tone between any of the other wires.

 

When you are giving resistance (Or any other reading.) you need to specify the units. In the case of resistance that would be ohms, K ohms.(Thousands of ohms.) or Meg ohms. (Millions of ohms.) I will assume that your readings are ohms for now.
The resistance reading of each conductor in the 6 core cable should be quite low. your reading of 2.0 and 2.1 (Assuming these values are in ohms.) is probably OK as the wire is probably quite thin. It looks like the other 4 conductors are broken. Replace the 6 core cable.

Les.

 

I took the headphones fully apart and was able to get better contact. Here are the results.
Brown to brown: 1.8 ohms
Blue to blue: 2.5 ohms
White to white: 11 ohms
Red to red: 2.5 ohms
Yellow to yellow: 2.0 ohms
Black to black: 2.0 ohms

 

I also check the white wire to white wire again and this time it was 2.0 ohms

 

Your new tests seem to indicate that the 6 core cable is OK. (Or there is an intermittent break in the white conductor )
I think the battery positive terminal should make a connection to the black wire. (B+). It may go via one of the ferrite beads. You need to trace the track to see if you can find a break.

Les.

 

What is a ferrite bead?

 

A ferrite bead is a short length of ferrite tube. (For example 4mm od, 2mm id and 4mm long.) They behave like a lossy low value rf choke. They are used to filter out high frequency unwanted signals. The conductor is just threaded through them. They are also now made in surface mount form. I assume the components on your board marked FB are ferrite beads. If you test there resistance it will be zero with a normal multimeter. (You will just see the resistance of the test leads on your meter.)

Les.

 

When testing the continuity of say the six core wires, why is the resistance (or ohms) reading important and not just the tone?
Also, what would it indicate if one of the 6 core wires had a high resistance reading and the rest were 2 ohms?

 

The tone only indicates that the resistance reading is less than some value. This value varies between multimeters and may be given in the specification of your multimeter. It is useful for testing a cable with nothing connected to it that provides an alternative path. So if you are identifying cores in a multi core cable you would expect a low reading between the ends of the same core. (The actual value would depend on the length and cross sectional area of the conductor.) If you were not on the ends of the same conductor thr reading would probably be very high. (Probably greater than 20 Megohms.)
I think you need to lean some basic electrical knowledge if you want to do any electrical or electronic repairs.

Les.

 

Looks like I have a lot to learn but thank you for all your help and your time.