An accumulation apparatus, which adds a number of data values, has an adder and an asynchronous ripple counter. The adder adds each current data value to an adder sum of the preceding data values. The asynchronous ripple counter, which is coupled to the adder, generates a ripple count by counting occurrences of overflow of the adder. The accumulation apparatus outputs an accumulated data value having the adder sum as least significant part and the ripple count as most significant part.