The paper gives an information theoretic analysis of the potential of chaos in digital communication schemes, underlining that there is no fundamental principle that speaks against the use of chaotic systems in digital communications. The channel model considered throughout the paper is that of additive white Gaussian noise (AWGN). In particular, an example using the dyadic shift (Bernoulli shift) map is presented to illustrate the fact that the use chaotic piecewise linear maps has no systematic negative effect for digital communications applications.