Would a 1985 300SD module exchange match with the module in my 1987 300 SDL?

My Dad's 300 SD reads in C and he wants to read F.

That would be sweet, just swap the parts between my car and Dad's.

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1st MBz: 1982 300SD
2nd MBz: 1987 300SDL
3rd MBz: 1995 S420
4th MBz: 1987 190DT
5th MBz: 1984 300SD w/1983 300DT engine
6th MBz: 1999 C230k I'm 3rd owner, got it w/57,235 miles.
and manages Mom's 2007 R320 CDI