Systems and methods for rapid generation of droplet libraries

Arrays of droplet-on-demand dispensers are controlled by a row-column addressing scheme that can reduce the number of on-chip address lines, thereby making it feasible to construct large dispenser arrays. Decoders are used to further reduce the number of control lines that select a specific address line. A microfluidic logic controller includes row-select lines, each coupled to dispensers disposed on the same row, and column-select lines, each coupled to dispensers disposed on the same column such that each dispenser is associated with a unique row-column address. A logic circuit can actuate a dispenser only if the logic circuit receives signals from both of the row-select line and the column-select line corresponding to the row-column address of the selected dispenser. Reagents can be dispensed from the dispenser array, thereby allowing for rapid formatting of a reagent library into microfluidic droplets.