1. Apparatus for converting number representations from one radix to another comprising a plurality of automaton circuits each having an input, a Mealy output and a Moore output, each said automaton circuit being instrumented to operate in accordance with the equation: ##EQU11## where S = Present state of said automaton circuit S* = Next state of said automaton circuit r.sub.a = Current radix of said number representation r.sub.b = Desired radix of said number representation Z = Said Mealy output of said automaton circuit I.sub.O (r.sub.a).sup.O = Weighted input digit of said number representation S.sub.f = Final state of said automaton circuit, said final state of said automaton circuit providing said Moore output representation of a digit of said number representation in said desired radix, said automaton circuits being coupled in cascade with said input digits of said number representation being applied in serial fashion to the input of one of said automaton circuits and with the input of each of the remaining of said automaton circuits being coupled to the Mealy output of the preceding one of said automaton circuits, each said automaton circuit comprising a device having r.sub.b stable states.