Operations in the homology spectral sequence of a cosimplicial infinite loop space

Consider the mod 2 homology spectral sequence associated to a cosimplicial space X. We construct external operations whose target is the spectral sequence associated to EΣ2×Σ2(X×X). If X is a cosimplicial E∞-space, we couple these external operations with the structure map EΣ2×Σ2(X×X)→X to produce internal operations in the spectral sequence. In the sequel we show that they agree with the usual Araki-Kudo operations on the abutment H∗(TotX).