abstract: Ferrero and Washington observed the joint equidistribution of digits of p-adic integers, which describes the arithmetic invariants of a tower of number fields. We reprove the main equidistribution instance in their proof of the vanishing of cyclotomic Iwasawa \mu-invariant, based on the ergodicity of a certain p-adic skew extension dynamical system that can be identified with Bernoulli shift (joint with Bharathwaj Palvannan).