The neuron-MOS (neu-MOS) transistor, recently discovered by Shibata and Ohmi in 1991 [T. Shibata, T. Ohmi, International Electron Devices Meeting, Technical Digest, 1991] uses capacitively coupled inputs onto a floating gate. Neu-MOS enables the design of conventional analog and digital integrated circuits with a significant reduction in transistor count [L. This paper extends the neu-MOS paradigm to complementary gallium arsenide based on HIGFET transistors. The design and HSPICE simulation results of a neu-GaAs ripple carry adder are presented, demonstrating the potential for very significant transistor count and area reduction through the use of neu-GaAs in VLSI design. Preliminary simulations indicate a reduction of a factor of four in transistor count for the same power dissipation as conventional complementary GaAs. The small gate leakage is shown to be useful in eliminating unwanted charge build-up on the floating gate.