In this project, we investigate the di usion coe cient of Brownian particles which arernrandomly generated on a two dimensional grid. By using the cellular automata techniquesrnwe investigate mean square displacement (MSD) and root mean square displacementrn(RMSD) of particles for xed percent of concentration. We nd the MSD and RMSD ofrnparticles at di erent values of concentration. In addition to these, we investigate MSDrnand RMSD of particles for xed and di erent values of concentration at di erent timernsteps for a given number of cells