There are three recognized forces, the gravitational, electrostatic, and strong force.  The weak interaction is not a force at all.  The gravitational force is proportional to the strong force by way of the mass to strong charge ratio.  The electrostatic force, weak interaction, and strong force all work together.  The electrostatic force law works for electrostatic charge at a relatively long distance, but not at a very close distance.  Also, the strong force law works for electromagnetic charge at a very close distance, but not at a relatively long distance.  The two forces actually trade off, depending on the distance between the charged bodies.

After completing the nuclear binding energy equation, we can predict that it will include elements of both the electrostatic and electromagnetic force laws.  It will also likely include the weak interaction as a term.