Inspired by communication modes of cell junction proteins, an artificial bichannel nanofluidic diode system was constructed and investigated to implement basic "AND" and "OR" logic gates in different connection modes. Input conditions were set as conducting and nonconducting states of each nanofluidic diode unit. Output results were set as response current of the system at rated voltage. Besides, nanofluidic diodes with different ionic permeabilities were connected in multiple modes, and different logic operation results were obtained. This novel logic device based on nanofluidic diodes provided a new approach to establish diverse stimuli-responsive signal processing networks and has prospect to obtain nanofluidic diode intelligence chips by integrating in large scale.