Abstract: Circuitry for the summation, especially for generation, of scalar products, to which one summand in floating-point representation is conveyed per machine cycle (ZT), in which, after conversion into fixed point representation, it is received in a summing unit with an accumulator (AS1,-AS4) comprising the whole exponent range. The accumulator is subdivided into row sections, which are longer than the mantissa of the summands. Partial exponents (EPK1,-EPK4) generated in an exponent analyzer (EXA) control the mantissa positioner (PM) or are allocated to the mantissas and delivered continuously and cycle-wise to transfer registers (RE1,-RE4; RVS1,-RVS4; RNS1, RNS4), controlling summation row-wise. The carriers are allocated to the accumulator sections and intermediately stored in carry memory sections (CS1,-CS4) and are not added digit positionwise to the contents of each adjacent memory section until the sum is output, further carries being continuously processed.