A binary genetic encoding (BGE) representation for the automatic synthesis of mixed-mode circuit topologies, is introduced. First, the genetic encoding of unity-gain cells (UGCs), such as voltage (VF) and current followers (CF), and voltage (VM) and current mirrors (CM), is presented. New BGEs for the VM and CM are introduced. Second, the UGC's chromosomes are combined to synthesize mixed-mode circuit-topologies, namely current conveyors and current-feedback operational amplifiers (CFOA). Five strategies for the combination or superimposing of UGCs are introduced. The proposed BGE has been implemented in MATLAB TM , and links SPICE to evaluate the populations with different integrated circuit technologies. Some new synthesized circuit topologies are shown along with their chromosome description.