Abstract: In binary neural networks, every neuron is ectuivalent to a linear separable function, however, the logical meaning of every linear separable function which is expressed by the binary neuron is still not clear. I}his paper firstly analysed the known linear separable structures,then discussed whether these known structures cover the whole binary neurons,finally pointed out when the threshold value is in some range,the logical meaning of the linear separable function is still unclear. This result provides the way of the cover problem of binary neurons.

Key words: Binary neural networks, Linear separable structures, Cover problem, Logical meaning