It is not unusual for a board of directors to have an executive committee composed of a small subset of the board, but all of the directors are ultimately responsible for running the organization. If your “general board members” are actually directors responsible for the organization, they have a right to know what is going on and a duty to find out so that they can fulfill their fiduciary duties. Unless the information given to the general board member is about a situation in which the general board member would have to recuse himself or herself from a board discussion, it is hard to imagine what information about executive committee deliberations that they should be denied. You probably ought to have a broader discussion of your confidentiality policy so that everyone understands what is expected.