The developed approach to the fragment method of restoring the operation of digital systems (DS) structured as a minimal quasicomplete graph with two paths between two users is to alternately restore individual DS fragments. The analyzed DS fragment consists of a testeduser, a switch, and two communication lines between the switch and the testing and testedusers. For a single fragment, we construct a typical base program unit which can serve as areference for the base units for other DS fragments. Based on the results of diagnostics forthe components of the fragment, the testing user replaces functions of the faulty componentwith functions of operational components. The developed approach guarantees to remove the influence of a single faulty component in a digital system of the analyzed structure.