A method for generating partial sums from at least four multiple-digit sequences in a computing device includes partitioning the multiple-digit sequences into at least a first set of multiple-digit sequences and a second set of multiple-digit sequences. The method also includes generating at least one auxiliary set of multiple-digit sequences. The auxiliary set includes digits copied from respective digit positions of multiple-digit sequences in the first and second sets. The method further includes replacing the copied digits in the first and second sets by zeros to obtain a first altered set and a second altered set, respectively, of multiple-digit sequences each comprising multiple segments separated by the replaced zeros. The method also includes generating at least a first partial sum by adding the multiple-digit sequences in at least one auxiliary set and generating at least a second and third partial sums by adding the multiple-digit sequences in the first altered set and second altered set, respectively.