  We compute the generalized slices (as defined by Spitzweck-{\O}stv{\ae}r) of
the motivic spectrum KO (representing hermitian K-theory) in terms of motivic
cohomology and (a version of) generalized motivic cohomology, obtaining good
agreement with the situation in classical topology and the results predicted by
Markett-Schlichting. As an application, we compute the homotopy sheaves of
(this version of) generalized motivic cohomology, which establishes a version
of a conjecture of Morel.
