Systems and methods are provided for performing a dot product. Each of a first series of numbers is divided into a first value, comprising the N most significant bits of the number, and a second value to form first and second sets of values. Each of a second series of numbers is divided into a third value, comprising the N most significant bits of the number, and a fourth value to form third and fourth sets of values. A dot product of the first and fourth sets of values is computed to provide a first partial sum. A dot product of the first and third sets of values is computed to provide a second partial sum. A dot product of the second and third sets of values is computed to provide a third partial sum. The partial sums are summed to provide a result for the dot product.