I was wondering if in order to upgrade from the Student Evaluation Version towards the Student Install Version is it necessary to reinstall the whole program or would it be enough with introducing the License Key and installing the necessary modules?
I haven't done this specifically with Student, but normal LabVIEW doesn't require a reinstall. You likely have a program installed called "NI License manager". If the student version is listed there, you very likely won't need a reinstall.
You will not need to re-install the software. If you have the full Student Edition, you can just activate your evaluation software with your serial number.
