A method of implementing binary multiplication in a processing device includes obtaining a multiplicand and a multiplier from a storage device; in the event the multiplier is larger than a selected length, partitioning the multiplier into a plurality of multiplier subgroups; in the event the multiplicand is larger than a selected length, partitioning the multiplicand into a plurality of multiplicand subgroups and at least one of zeroing out of unused bits of the multiplicand subgroup and sign-extending a smaller portion of the multiplicand subgroup; establishing a plurality of multiplicand multiples based on at least one of a selected multiplicand subgroup of the plurality of multiplicand subgroups and the multiplicand; selecting one or more of the multiplicand multiples of the plurality of multiplicand multiples based on the each multiplier subgroup of the plurality of multiplier subgroups; and generating a first modular product based on the selected multiplicand multiples.