Z80 / Z84C Swap (Doh!)

As the proud owner of an NtM Osborne 1 computer, courtesy of our own Jules Richardson (and another list member), I made no delay in opening the case to install a missing CPU. Jules was kind enough to let me know about the missing part prior to handing the old girl over to me. I'm sure you've already figured out what happened - unaware that the Z84C series was CMOS, that's what went into the Osborne's CPU socket. The machine came to life with a garbage display and howling on-board beeper. Tried resetting it a few times, all I got was more and different noise & garbage. That's when I shut down and did some reading - initially, I thought it might be a clock speed issue - sometimes 'faster' chips won't run at slower clock rates. What I did learn is that Z-80 were made in CMOS versions, and the Z84C is one. So what did I most likely do, here? Hose the CPU for sure? Collateral damage on the board? Both / Neither? As ever, it's what you don't get, that gets you.