Will I remain “CAP Exempt” if I resign from a cap exempt institution and apply for an H-1B through a CAP Subject Entity?

CAP Exempt entities do not fall under the 65,000 annual CAP set for the H-1B visa category. Individuals who are employed by these institutions may only move to another cap exempt institution. If they seek employment with a cap subject entity they would fall under the annual H-1B CAP although they have been issued an H-1B in the past.