title: One-step digit-set-restricted modified signed-digit adder using an incoherent correlator based on a shared content-addressable memory
abstract: An efficient one-step digit-set-restricted modified signed-digit (MSD) adder based on symbolic substitution is presented. In this technique, carry propagation is avoided by introducing reference digits to restrict the intermediate carry and sum digits to {1,0} and {0,1}, respectively. The proposed technique requires significantly fewer minterms and simplifies system complexity compared to the reported one-step MSD addition techniques. An incoherent correlator based on an optoelectronic shared content-addressable memory processor is suggested to perform the addition operation. In this technique, only one set of minterms needs to be stored, independent of the operand length
keyphrases: one-step digit-set-restricted modified signed-digit adder incoherent correlator shared content-addressable memory symbolic substitution reference digits intermediate carry sum digits minterms system complexity optoelectronic shared content-addressable memory processor addition operation operand length