@edgarblythe,
I appreciate your help, but that's about all I can remember, I was very young and that show sparked my interest in computers and technology.
I recall that when the voiceover described the lengthy technical name for the computer, it ended by saying, "AMIC to it's friends." It's possible that there were other terms or letters in the name that I don't remember. I believe the computer was modeled after the UNIVAC or ENIAC. I'm almost certain it was in the 50s.