Sixteen logic functions in a single electronic circuit.

This paper introduces an electronic circuit capable of generating a set of functions, some of them known in digital systems as the logical operators AND, OR, XOR, and so on. Using two inputs, u1$$ {u}_1 $$ and u2$$ {u}_2 $$, the circuit provides 16 possible output combinations. The main idea of the electronic design is based on an RC network, operational amplifiers, and voltage comparators. On the other hand, mathematically, the stable system response is used as a surface where u1$$ {u}_1 $$ and u2$$ {u}_2 $$ are coordinate axes forming a plane, which intersects this surface, and the output y$$ y $$ can be seen as a circle surrounding some fixed points over this plane. The mathematical approach on this paper is intended as a groundwork for a multiple input reconfigurable logic gate that could be embedded in more complex systems. The procedure to obtain an XOR gate, represented by the f(6)$$ f(6) $$ function, is explained to illustrate the circuit behavior. Results of the 16 implemented functions are shown in Appendices B and C.