In the attached photo, what would the expected value of the resistor on the RHA marked '1242' be? I measured it at 12.52k when disconnected from the circuit, which would mean its value is 100Ω higher than it should be, but I see no decimal point? This is R22, one of the resistors matched to the voltage reference, the other being R15 which is marked 73.2 and measures 73.3, which is very close to what it should be.
Otherwise I checked every resistor in the circuit. The two 3.3k resistors (R17, R19), which were both over 3.5k, were replaced. The 100k was also replaced as it was high at 117k so also out of spec (5%). In addition, Q9 and Q10 have been replaced along with C8. Apart from R22 in the above question, all 1% seem to be in spec.
At this point I thought that pretty much leaves just the reference. I checked for oscillation, but there was no evidence of any on the scope.
Finally, I realised that I needed to check R181, the 3.3k across the output of the +7V rail and that appears to have nailed it! I de-soldered it at the joint to the +7V rail and checked its value - around 3.6k. Its not critical, so I soldered it back. The rail now read +7.01V - which was not unusual as this happened several times previously after I had just been soldering on the PCB. I powered off, went away and came back a few minutes later, powered on expecting the usual rise to around 8.92V but this time it was still at 7.01V! I repeated the test to make sure and so far so good. Conclusion: a cold joint at the R181 junction with the +7VR rail. It seems that your hunch, Kleinstein, was correct. Since this is a reference rail and it feeds several high impedance points in the 8100A circuit, I wondered whether perhaps the 3.3k across the output provides the minimum loading needed for proper regulation and stabilising of the rail, in which case, a cold joint here would have interrupted the load causing the rail to float high? I might just replace that 3.3k as I still have one left. Next time I should maybe start troubleshooting from the opposite end of the circuit....
The +15V rail is slightly low at +14.88V, which has been consistent throughout and is probably not too critical, but will be re-checked once the Electrolytic cap has been replaced.
In the meantime I have also received the replacement Nixie driver chips. I ordered both the DM7441 and the SN74141 so that I could compare them. I decided to try both of them to see the difference, but because all I am getting is just random flashing digits, no difference was evident. Current draw with the chip inserted was between 155mA and 160mA, which is less than 20mA increase when compared with the chip removed, which is in line with what should be expected according to the datasheet.
So then next step, while I wait for the replacement Electrolytic caps, will be to determine why I am getting just random digits on the display and no response to any input.
UPDATE: I repeated the test again some 30 minutes later. This time the rail started at over 8V again, but rapidly fell to 7.02V, taking around 5 seconds to do so rather than the previous 2-3 minutes. Its definitely better but still appears to need a little settling time. I have now replaced that 3.3k and will re-test again in 30 mins or so.
UPDATE2: Have repeated the test an hour later and this time it took around 10 seconds to drop from around 8.5V to 7.02V, but again, not two or three minutes. Replacing the resistor seems to have made little difference. Not sure whether this can be called a fix yet, but it seems to be an improvement.
UPDATE3: another test this morning confirms that the problem is NOT solved. We are back to the same 2-3 minute settling time so it seems I may have spoken too soon!