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The mixed spin 3- spin 3/2 Ising model has been simulated using coolingalgorithm on cellular automaton (CA). The simulations have been made in theinterval -6<=D<=6 for J=1 for the square lattices with periodic boundaryconditions. The ground state phase diagram of the model has different typeferrimagnetic orderings. Through D/J=2 line, compensation points occurs atkT/J=0. The values of the critical exponents ( {\nu}, {\alpha}, {\beta} and{\gamma}) are estimated within the framework of the finite-size scaling theoryand power law relations for selected D/J values (-2, 0, 1, 2 and 4). Theestimated critical exponent values are in a good agreement with their universalvalues of the two dimensional Ising model.

The Mixed Spin 3 - Spin 3/2 Ferrimagnetic Ising Model on Cellular Automaton