diff --git a/docs/iris/src/whatsnew/2.2.rst b/docs/iris/src/whatsnew/2.2.rst
index 1eff99ecb4..61a52e3784 100644
--- a/docs/iris/src/whatsnew/2.2.rst
+++ b/docs/iris/src/whatsnew/2.2.rst
@@ -85,6 +85,8 @@ Iris 2.2 Dependency updates
 Bugs Fixed
 ==========
 
+* Cube equality of boolean data is now handled correctly.
+
 * The bug has been fixed that prevented printing time coordinates with bounds
   when the time coordinate was measured on a long interval (that is, ``months``
   or ``years``).
diff --git a/lib/iris/cube.py b/lib/iris/cube.py
index 88b8a39347..8457b53ab4 100644
--- a/lib/iris/cube.py
+++ b/lib/iris/cube.py
@@ -3047,11 +3047,10 @@ def __eq__(self, other):
                 result = not (coord_comparison['not_equal'] or
                               coord_comparison['non_equal_data_dimension'])
 
-            # having checked everything else, check approximate data
-            # equality - loading the data if has not already been loaded.
+            # Having checked everything else, check approximate data equality.
             if result:
-                result = np.all(np.abs(self.data - other.data) < 1e-8)
-
+                result = da.allclose(self.core_data(),
+                                     other.core_data()).compute()
         return result
 
     # Must supply __ne__, Python does not defer to __eq__ for negative equality
diff --git a/requirements/core.txt b/requirements/core.txt
index eb7d39ca5d..48ee3f1dfd 100644
--- a/requirements/core.txt
+++ b/requirements/core.txt
@@ -7,7 +7,7 @@ cartopy
 #conda: proj4<6
 cf-units>=2
 cftime
-dask[array]>=1.1.0  #conda: dask>=1.1.0
+dask[array]>=1.2.0  #conda: dask>=1.2.0
 matplotlib>=2,<3
 netcdf4
 numpy>=1.14