Based on the system of drive-response vertical cavity surface emitting lasers (VCSELs) with optical feedback and the new electro-optic (EO) modulation theory, we propose a novel reconfigurable and storable logic operations scheme to perform the behaviors of flexible switching and delayed storage among different logic operations. Here, the optical feedback intensity is modulated into logic input, the applied electric field in drive system and response system are modulated into logical control signals, the logic output is decoded by threshold mechanism. When the logical control signal in drive system and response system remain equal and both of them satisfy different logic operation relationships with the logic inputs, the system can perform the mutual conversion and delayed storage among the logic operations such as AND, NAND, OR, NOR, XOR and XNOR. Furthermore, the half adder logic operations are also being realized. Finally, the influence of bit duration time and noise intensity on the reliability of the logic operations is analyzed, and the results indicate that the logic operations have good anti-noise performance.