Post algebras and ternary adders

Abstract Except for qubits which the different possible values are unordered, of m -valued circuits either with voltage levels, current levels or charge totally ordered. Either at Math level (Post algebras) circuit level, it means that each multiple valued must be decomposed into binary processed computation and finally converted a level. Using ternary adders as example, we show ternary-to-binary decoding encoding should applied to whole adder restricted parts adder. The second approach using multiplexers leads most efficient adders. However, comparison shows binary-to-ternary conversions is reason more efficient.