A wireless sensor network contains a set of sensor devices that are usually operating on battery power with a limited energy resources and due to the dimensionality of these networks, replacing the batteries is a complicated task. Thus energy efficiency is one of the most important issues and designing energy efficient protocols is critical for prolonging the lifetime. This paper introduces a two routing protocols namely, LEACH and EAMMH in Homogenous & Heterogeneous system supported by simulation scripts, and analysis of the results against known metrics with energy and network lifetime being major among them. Simulation results using MATLAB shows that the proposed EAMMH in Homogenous & Heterogeneous system significantly reduces energy consumption and increases the total lifetime of the wireless sensor network.