Abstract: A system is proposed for forming the inner product of an input signal having a number of signal entries, with a pre-known vector. Each signal entry is represented in an RNS format. The residue for each modulus is represented as a string in which the number of components taking a first value is equal to the residue. Corresponding components of the strings for different input entries are used to obtain a summation value, and the summation values are accumulated. Since the components of the string are not associated with weight values, the accumulation of the summation values can be performed without using a scaling accumulator. Furthermore, an ADC is proposed which uses the input signal to generate an RNS representation of the signal based on a plurality of moduli. For each modulus, there is a corresponding Residue Number System (RNS) converter which includes a number of zero-crossing-based folding circuits equal to the modulus, and a comparator for each zero-crossing based folding circuit.