Conventional semiconductor components can be used for modeling and simulating molecular structures, so the progress in molecular electronics can be accelerated by creating a link between molecular electronics and semiconductor technology. Little work has been done so far on molecular electronic modeling. The present work attempts to focus on molecular electronic modeling by proposing a typical model and discussing its theory. Moreover, the circuit components used for modeling the molecules are introduced. An asymmetric oligo phenylene ethynylene (OPE) molecular diode and a four-benzene molecular diode are designed using the presented typical model. Furthermore, using LTspice software, the currents are obtained from the model and molecules for both OPE molecular diode and four-benzene molecular diode to confirm their appropriate performance. Then transmission spectrum, potential drop profile, and rectification ratio are obtained and analyzed for the four-benzene molecular diode using Atomistix ToolKit (ATK) software. Finally, various molecular gates and molecular memory logic circuits including NOT, NAND, NOR, SR Flip Flop, and D flip-flop are designed using the four-benzene molecular diode model.