  This work presents a comprehensive study of the properties of finite (0,1)
binary systems from the mathematical viewpoint of quantum theory where a
complex wavefunction $\psi_{n}$ is considered as an analogous probability
measure. This is a quantum-inspired extension of the GenomeBits model to
characterise observed genome sequences, where $\psi_{n}$ is related to an
alternating (0,1) binary series having independent distributed terms. The real
and imaginary spectrum of $\psi_{n}$ {\emph vs.} the nucleotide base positions
display characteristic features of sound waves.
