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On-chip testing of high-resolution high-speed DACs is extremely challenging because of the stringent requirements on the accuracy, speed and cost of the measurement circuits. This work proposed a new on-chip strategy for DAC linearity testing applying the proposed deterministic dynamic element matching (DDEM) technique. Low-accuracy two-step flash ADCs are used as test devices. Speed advantage of flash structure enables at-speed testing, while its accuracy and resolution are improved by DDEM algorithm, the second stage and dithering. In this paper, the architecture of the DDEM flash ADC and DDEM algorithm are described. The design consideration of the major circuit blocks are talked about. The test performance is analyzed theoretically and verified by simulation. Simulation shows that a dithering incorporated two-step flash DDEM ADC, which consists of a 6-bit coarse DDEM stage, a 6-bit fine stage and a 5-bit dithering DAC, with linearity of all the blocks only at about 6-bit level, is capable of testing 14-bit DACs.