A system for the electrical bio signal detection for a microchip is proposed. Gold nanoparticles were selected for the system for their bio-compatibility and potential for higher sensitivity with large surface areas. For the estimation of the conductivity of gold nanoparticles, microchips with interdigitated microelectrodes of 3,5,7 and $9;{mu}m$ spacing were fabricated. In addition, a simulation program was developed to estimate the electrical resistance of the fabricated microchip. The results of conduction simulation for the nanoparticles show good agreements with experimental data, which validate the proposed system.