For the first time superconducting digital circuits based on Josephson junctions with amorphous niobium-silicon (a-NbSi) barriers have been fabricated and tested. Single-flux-quantum (SFQ) shift registers operated with ±30 % bias margins, confirming junction reproducibility and uniformity. Static digital dividers operated up to 165 GHz for a single value of bias current, which was only marginally slower than circuits fabricated with externally shunted AlO x-barrier junctions having a comparable critical current density of 4.5 kA/cm 2. In comparison, self-shunted a-NbSi junctions enabled a doubling in circuit density. This and their relatively thick 10 nm barriers could increase the yield of complex SFQ circuits.