Abstract: A device for reducing irrational-base codes to a minimal form, comprising "n" identical functional cells whereof each Bth cell incorporates a flip-flop with a count input and an AND convolution element intended to evaluate the possibility of performing the operation of convoluting the (B-1)th and (B-p-1)th code digits to the Bth code digit. One of the inputs of the AND convolution element is connected to an inverting output of the flip-flop whose direct output serves as an information output of the Bth functional cell. The flip-flop has its set, reset and count inputs connected to an information input, a convolution set input and an inversion signal input, respectively, of the Bth functional cell, the inversion signal input being connected to an information output of the (B-1)th functional cell. The remaining inputs of the AND convolution element are a first convolution signal input, a second convolution signal input and a convolution control input of the Bth functional cell.