A novel signed higher-radix full-adder algorithm and implementation with current-mode multi-valued logic circuits

A higher-radix algebra for full-addition of two numbers is described and realised by combining multivalued logic min, max, literal and cyclic operators in terms disjoint terms. The latter operator is designed by using a current-mode threshold circuit while the other operator is realised by only voltage-mode switching circuits. The threshold circuit employed allows for much higher radices compared to architectures employing voltage-mode binary logic switching circuits as well as better mismatch properties compared to previous threshold circuits. Due to disjoint terms involved, multi-valued logic min and max operators can be replaced with ordinary transmission operation and addition, respectively. Resultant a single-digit, radix-8 full-adder and its 3-bit counterpart voltage-mode circuits are realised and compared. The algorithm is also exploited for a multi-digit case and its HSPICE simulation results are presented.