Nope yours is OBD1; '91 or older is OBD0, '92-'95 is OBD1, and '96+ is OBD2
It's just different emmisions controls. Also the ECU plugs are different in shape and wiring (conversion harnesses can help with this). If you get a b16a, you will want to get a '92-'95 engine, it's OBD1.
Edited
Yes you will have to convert it to OBD2, there are a few ways of doing that. Depends on what engine harness and ECU you use.