  Pixel microlensing, i.e. gravitational microlensing of unresolved stars, can
be used to explore distant stellar systems, and as a bonus may be able to
detect extragalactic planets. In these studies, binary-lens events with
multiple high-magnification peaks are crucial. Considering only those events
which exhibit caustic crossings, we estimate the fraction of binary events in
several example pixel microlensing surveys and compare them to the fraction of
binary events in a classical survey with resolved stars. We find a considerable
enhancement of the relative rate of binary events in pixel microlensing
surveys, relative to surveys with resolved sources. We calculate the rate
distribution of binary events with respect to the time between caustic
crossings. We consider possible surveys of M31 with ground-based telescopes and
of M87 with HST and NGST. For the latter, a pixel microlensing survey taking
one image a day may observe of order one dozen binary events per month.
