Digital radios can tune without moving parts by utilizing frequency synthesizers, which generate specific frequencies electronically rather than mechanically. This technology allows users to input desired frequencies directly via a screen, eliminating the need for physical adjustments. Even older radios, like 'steam radios,' could function without moving parts by employing semiconductor diodes to replace variable capacitors. The discussion highlights the evolution of radio technology from mechanical tuning to modern electronic solutions. Overall, advancements in circuit design have made it possible for radios to operate efficiently without traditional moving components.