can enum type derive from interface

I have three enums inside my class

public enum CPUBrandEnum { 
   Intel = 1,
   AMD = 2                    
}

and

public enum CPUTypeIntel {
   Celeron,
   Pentium4
}
public enum CPUTypeAMD {
   ASeries,
   ESeries
}

so I have property which hold cpu brand

public CPUBrandEnum CPUBrand { get; set; }
public SelectedCPUType ???

but since I don't know which cpu type will be choosed by the user in runtime I don't know how to construct propertytype which will hold choosen cpu.

If those are object I would derive them from some interface ICPUType but in this case (enum) I'm stuck.

Update: Let me explain usage of this property SelectedType.

User will select cpu brand type from CPUBrandEnum, based on that value I will display either CPUTypeIntel of CPUTypeAMD.

So based on that value SelectedCPUType can be one choosed value from CPUTypeXXX enum.