Using Powershell to see if a computer is Windows 7, 8, or 10

Hi All,

I'm writing a logon script to install RSAT on a handful of machines. One thing though that has been challenging is having PowerShell check if a computer is Windows 7, 8, or 10. I don't really know how to code that and I've tried to see if that was done before online but I haven't found any material. My script basically would look like:

If program is installed

exit

If not installed

Is Windows 7

      32 bit?

            install program

      64 bit?

            install program

Is Windows 8

      32 bit?

            install program

      64 bit?

            install program

Is Windows 10

      32 bit?

            install program

      64 bit?

            install program

Any assistance on this would be great. Thanks.