  Let $(0, a_1, \ldots, a_{d-1})_n$ denote the function $f_n(x_0, x_1, \ldots,
x_{n-1})$ of degree $d$ in $n$ variables generated by the monomial $x_0x_{a_1}
\cdots x_{a_{d-1}}$ and having the property that $f_n$ is invariant under
cyclic permutations of the variables. Such a function $f_n$ is called monomial
rotation symmetric (MRS). Much of this paper extends the work on quadratic MRS
functions in a $2020$ paper of the authors to the case of binomial RS
functions, that is sums of two quadratic MRS functions. There are also some
results for the sum of any number of quadratic MRS functions.
