For realizing symbolic substitution rules of binary addition. This paper proposes a simple optical logic system which includes only one 2-D array of optical bistable device. One optical bistable ZnS IF of transmission-reflection type which simultane-ausly has two logic functions of NXOR and OR as optical logic device is used in this arithmetic system. The invariable free space interconnect is adopted in the optical system. Four symtolic substitution rules of binary addition can be parallelly implement in the optical logic system. The optioal logic system has the advantages of fewer optioal hardwares, lower loss of optioal power and simple architecture.