Abstract: A system and method calibrate a redundant number system analog-to-digital converter (RNS ADC) using successive approximations of multiple input signals and approximating each input signal at least twice. The RNS ADC includes N analog converter reference elements, each of the analog converter reference elements is associated with a weight in a weight vector W, and N is an integer greater than one. The system and method successively approximate each of M distinct analog input signals twice to generate M respective pairs of successive approximation converter reference element vectors, C1j and C2j,that correspond to digital approximations of the input signals, wherein j ? {0, 1, . . . , M-1}, wherein M is a positive integer. The system and method utilize differences between the successive approximation converter reference element vectors, C1j and C2j to determine a final weight vector WB.