A fluidic device may include inlet ports, input ports, one or more output ports, fluid channels each configured to route fluid from one of the inlet ports to one of the one or more output ports, and pistons. In some examples, each piston may include (1) a restricting gate transmission element configured to block, when the piston is in a first position, and unblock, when the piston is in a second position, one of the fluid channels, (2) a controlling gate transmission element configured to interface with a first control pressure that, when applied to the controlling gate transmission element, forces the piston towards the first position, and (3) an additional controlling gate transmission element configured to interface with a second control pressure that, when applied to the additional controlling gate transmission element, forces the piston towards the second position. Various other related devices and systems are also disclosed.