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This paper investigates the implementation of generic periodic symmetric functions (PSFs) with single-electron tunneling transistors (SETTs). The PSF implementation scheme we propose fully utilizes the SETT Coulomb oscillation effect and can properly operate at T>0K, and only a pair of complementary SETTs is required for the implementation of any PSF. Based on the novel PSF block, we propose an analog-to-digital converter (ADC) scheme that requires n PSFs for an n-bit ADC implementation. To demonstrate our approach, a 4-b ADC and a 7|3 counter were designed and verified at 10 K by means of simulation.