We propose the implementation of directed logic gates using electroabsorptive (FA) quantum-well (QW) based p-i-n diodes embedded in the waveguiding regions of optical microring resonators (MRR). The absorption of the QW incorporated in the MRR configurations varies with respect to the applied field due to the quantum confined stark effect and results in optical switching by shifting the resonant wavelength. The optical logic gates are realized by representing the operands as the applied field on the rings while the operation results of logic gates appears as in the form of light intensities at the output ports of MRR. The proposed configurations are optimized (in terms of coupling coefficient, operating wavelength and applied field) to acheive logic operations such as AND, NAND, XOR, XNOR and Fredkin gates. EA modulation mechanism fails to implement OR and NOR gates on a parallel MRR configuration due to significant Q-factor reduction as the absorption increases with applied field. A novel electroabsorptive triple ring resonator configuration is proposed which can simultaneously realize optical OR as well as AND gate at the output ports.