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