Is the onboard diagnostic computer on your v6 1196 Eddie Bauer explorer obd obd2 or obd3?

It is OBD2. OBD3 is not out yet, and the OBD2 was REQUIRED in 1996. Ford actually started using OBD2 in 1994 even though not yet required. You can always look for the 16 pin DLC on the drivers side of the vehicle somewere around the underside of the dashboard, usually about knee hight. Obd vehicles the connector could be anywere and have any shape, and amount of pins but are usually located in fender, under the hood. I hope this answers you question.