  We give a simple recipe based on the use of discrete derivative, to obtain
generalized bit-moments obeying nonadditive statistics of Tsallis. The
generalized bit-cumulants may be of two kinds, first which preserve the
standard relations between moments and cumulants of a distribution, and are
nonadditive with respect to independent subsystems. The second kind do not
preserve usual moment-cumulant relations. These are additive in nature and
Renyi entropy is naturally incorporated as the cumulant of order one.
