There isn't one specific location to look for a "computer." You'll find various control modules such as:
* Powertrain Control Module (PCM): This is the most significant module, controlling engine functions. It's likely under the hood, possibly near the firewall or attached to the inner fender.
* Body Control Module (BCM): This manages various body functions, like lights, power locks, etc. This is typically under the dash.
* Other modules: Depending on options (like automatic transmission, air conditioning), there will be other modules for those systems. Their locations vary.
To find specific modules, you'll need a wiring diagram for your specific 1989 S10 model and trim level. A Haynes or Chilton repair manual would be invaluable for this. These manuals usually have diagrams showing the location of these modules.