* If you're experiencing a problem with the engine's performance or drivability: The "computer" (Powertrain Control Module or PCM) doesn't get "reset" in the same way as a modern car's computer. Issues are usually addressed by diagnosing the problem (diagnostic trouble codes - DTCs). You would need to use a scan tool to read the DTCs to determine what's wrong. Simply disconnecting the battery for a short period (about 30 minutes) might clear some temporary glitches, but won't solve underlying mechanical or electrical problems.
* If your Check Engine light is on: Again, you need to diagnose the problem using a scan tool to read the diagnostic trouble codes. Disconnecting the battery might temporarily turn off the light, but the underlying problem will still exist.
* If you're trying to reset something like a radio code: This is unrelated to the vehicle's engine computer. Radio codes are handled separately and typically require a code found in your owner's manual or from the radio manufacturer.
* If you are experiencing intermittent electrical issues: Disconnecting the negative battery terminal for 30 minutes to an hour will sometimes reset the onboard systems and resolve minor electrical gremlins. Be sure to reconnect it correctly.
In short: There's no single "reset computer" procedure for a 1996 S-10. To fix problems, you'll need to diagnose the specific issue. If you're unsure, taking it to a mechanic is recommended.