Apple sometimes uses the Bitwise-Shift operator in their enum definitions. For example, in the CGDirectDisplay.h file which is part of Core Graphics:
enum {
  kCGDisplayBeginConfigurationFlag  = (1 << 0),
  kCGDisplayMovedFlag           = (1 << 1),
  kCGDisplaySetMainFlag         = (1 << 2),
  kCGDisplaySetModeFlag         = (1 << 3),
  kCGDisplayAddFlag         = (1 << 4),
  kCGDisplayRemoveFlag          = (1 << 5),
  kCGDisplayEnabledFlag         = (1 << 8),
  kCGDisplayDisabledFlag        = (1 << 9),
  kCGDisplayMirrorFlag          = (1 << 10),
  kCGDisplayUnMirrorFlag        = (1 << 11),
  kCGDisplayDesktopShapeChangedFlag = (1 << 12)
};
typedef uint32_t CGDisplayChangeSummaryFlags;
Why not simply use incrementing int's like in a "normal" enum?