Apparatuses for mixing droplets, such as a binary mixing apparatus, are provided. The binary mixing apparatus includes an array of electrodes and a conducting element positioned in relation to at least one of the electrodes to enable a droplet placed in electrical communication with the at least one electrode to electrically communicate with the conducting element. The binary mixing apparatus additionally includes an electrode selector for sequentially biasing one or more selected electrodes of the array to move a droplet disposed on the array into contact with another droplet. The apparatus further includes a first droplet supply area communicating with the array and a second droplet supply area communicating with the array.