How to register Windows Phone 8.1 for App Development on 32 system

I want to register my Lumia 925 with Windows Phone 8.1 for App development on a Windows 8.1 32 bit PC.
I found that I need the „Windows Phone Developer Registration tool" to do this. The tool is installed with the „Windows Phone SDK 8.0" which needs a 64 bit Windows version to be installed. Does anybody know how the Registration can be done on a 32 bit Windows PC?

Edit: Have found the solution myself. The Tool for Windows Phone 8.1 was already installed.