Persons who have exhausted their regular unemployment compensation benefits may be eligible for additional benefits under the federal and state Extended Benefit Program, according to the D.C. Department of Employment Services.

Under the program, which became effective late last month, additional unemployment compensation benefits are provided in times of high unemployment. The program becomes effective when either the state or national unemployment rate exceeds 4.5 percent. The extra benefits became effective in the District because of the high national unemployment rate.

The extended benefits will provide a minimum of five additional weeks of payments, payable at the rate the individual was paid under the D.C. regular compensation program for half the number of weeks of their regular entitlement, up to a maximum of 13 weeks.

To be eligible, an individual must be partially or totally unemployed; have received all of the benefits due under the regular unemployment claim; have no rights to any other unemployment insurance, and have filed a regular claim on or after Sept. 2, 1979.

The Department of Employment Services will notify by mail persons whom its records show are eligible for the extended benefits. Individuals who are not notified or would like to discuss their eligibility status may visit the office at 500 C St. NW between 8 a.m. and 4:30 p.m. weekdays. The office will also be open Saturdays, Sept. 6, 13 and 20, from 7 a.m. to 2:30 p.m.