So I guess a little orientation: there are 3 computer systems on Voyager, each one dual redundant.
The CCS (Computer Command System) is the probe's brainstem, it runs the overall show, afaict it's the one receiving and routing commands. It's an adapted CCS from the Viking program, and built to last. Notably, it uses plated wire memory. Similar to magnetic core memory, slower and low density by today's standards, but non-volatile and unbothered by harsh space weather.