  Some properties of diagonal binomial coefficients were studied in respect to
frequency of their units digits. An approach was formulated that led to use of
difference tables to predict if certain units digits can appear in the values
of binomial coefficients at quadratic terms of the binomial theorem. Frequency
distributions of units digits of binomial coefficients contain gaps (zero
frequency) under most common numbering systems with supposed exclusion to
systems with 2^n bases. Binomial coefficient arithmetics may be used to model
cell population dynamics in a multicellular organism, which implies that the
dynamics obeys power function laws.
