  If X is a cosimplical $E_{n+1}$ space then Tot(X) is an $E_{n+1}$ space and
its mod 2 homology $H_*(Tot(X))$ has Dyer-Lashof and Browder operations. It's
natural to ask if the spectral sequence converging to $H_*(Tot(X))$ admits
compatible operations. In this paper I give a positive answer to this question.
