Using first-principles electronic structure calculations we investigate the existence of stable ferromagnets among the A^IV/Fe digital alloys (A^IV = Si,Ge), modeled as periodic sequence of Fe monolayers in the A^IV host. Total-energy calculations and the magnetic force theorem are exploited for accurate determination of the magnetic ordering. To estimate the critical temperatures, Monte Carlo simulations are employed, while the renormalization-group analytical expressions are applied to assess the impact of the interlayer exchange on the critical temperature values. According to our results, among the systems under consideration only the Ge-based alloys feature a stable ferromagnetic ordering at nonzero temperature. The critical temperatures of these systems were found to be strongly dependent on the underlying crystal structure.