Digital Equivalence of Biological Neural AND-gate, OR-gate and MIN-Gate

This paper provides the mathematical derivation of the equivalent logic gates for spike code processing in neurons. It derives the computational equivalence between the binary code and spike code to illustrate the correspondence between binary and spike code logic operations theoretically. It identifies the similarities and differences between biological neural processing and binary logic gate processing. Using neural spike code for processing, a neuron can be generalized to process the equivalent of a multi-input OR-gate and a multi-input AND-gate by requiring a minimal number of m input spikes (from a set of all n inputs) before firing an output spike. A MINm-gate is introduced as the equivalent of the generalized multi-input ANDm-gate and multi-input ORm-gate that require a minimum of m inputs to fire an output spike. The MINm-gate is an equivalent of a statistical voting system that processes input spikes with a threshold of a minimum of m ≥ n/2 input spikes for a majorityrule system. Keywordsmassively parallel processing, biological neural processing, digital logic gate operation, asynchronous processing