Is there any formula that can be used to find loss of mass due to binding forces in atomic and sub atomic particles?
Yes, there is the Semi-empirical mass formula which will give you the binding energy/mass of the nucleus.

Once you subtract the binding energy/mass from that of the nucleons, you have the mass of the nucleus.  Then you should add the mass of the electrons.  Finally, in principle at least, you would subtract the binding energy/mass of the electrons (in other words the ionization energies of the electrons), but this is a very minor correction.