This paper claims that biosemiotics is necessary to make sense of the contemporary phenomenon of the convergence of the analog and digital codes of life. After having introduced the notion of “code convergence” and presented briefly the problem raised by a metaphoric take on the “genetic code” that constitutes the founding paradigm of molecular biology, the author insists on the necessity to further our semiotic understanding with to the introduction of Peirce’s concept of the interpretant. This allows biosemiotics to progress and develop a better understanding of the interactions between the analog and the digital by transforming our modeling of “genetic information”, no longer conceived as a substance, but as a process.