We calculate ground state configurations of a mixed Ising model on a square lattice where spins in one A sublattice are in alternating sites with spins , located on the other B sublattice.The Hamiltonian of the system includes nearest-neighbors interactions between the SiA and spins, next-nearest-neighbors interactions between the SiA spins, and between the spins, single-ion anisotropy, and an external magnetic field.