The effects of limited-precision weights on the threshold Adaline

The effect of limited-precision weights on the functional capability of a threshold Adaline is examined. The number of logic functions which can be implemented by the threshold Adaline serves as the primary measure of functional capability. Closed-form expressions are provided for the number of logic functions which can be implemented by a threshold Adaline with four different levels of weight precision. In addition, realization tests and procedures (based on the characterizing numbers) are provided for each level of weight precision. The number of realizable logic functions is compared to the capacity of a threshold Adaline with limited precision weights and a relationship between the two measures is proposed.