Performance and design methodology of 8x1 multiplexer (MUX) and all-optical reconfigurable logic circuit using GaAs-AlGaAs-based optical micro-ring resonator (OMRR) are presented in current paper. Proposed design of reconfigurable logic circuit is capable to perform eight different logic operations. Performances of the logic circuits have been theoretically analyzed using Z-domain modeling. Numerical simulation results confirming the method are explained in the present paper. Proposed circuit is simple, compact, efficient as it have minimum number of OMRR, low operating power, high operating speed and high Q-factor. Different 'figure of merits' of the purposed model are calculated from the simulation results.