Neuromorphic engineering popularly called neuromorphic computing is a study used to represent analog, digital, and software system-based artificial neurons that replicate the behavior of biological neurons in terms of perception and motor control. In this paper, first, we are going to study the mathematical model of neurons, understanding the Hodgkin Huxley equation to represent the biological neuron and based on this we have simulated the basic pulse-type hardware neuron model on LTSpice using Transistors, resistances, capacitances, and externally injected input stimulus current. We have also analyzed the Hodgkin Huxley neuron using MATLAB to understand and explore the basic features of a biological neuron-like its beating nature, action potential, gating variables, and conductance of ions in the HH equation.