The field of neuromorphic engineering is a multidisciplinary research topic which incorporates the knowledge of Neuroscience, physics, biology, and electronic engineering in order to replicate the neurological patterns of human brain. This paper presents a digital design based on CORDIC algorithm for a biologically inspired neuron model called Conductance-Based Adaptive Exponential Integrate-and-Fire (CAdEx) neuron model which is recently proposed by Gorski. The low-cost hardware implementation for the proposed model is capable of reproducing the same spiking activity of the original biological model. The modified digital architecture has been physically implemented on field programmable gate arrays. A maximum frequency of 129 MHz is obtained for the modified design.