diff --git a/django/db/models/fields/__init__.py b/django/db/models/fields/__init__.py
index 0e72a09e59..f30b523346 100644
--- a/django/db/models/fields/__init__.py
+++ b/django/db/models/fields/__init__.py
@@ -994,6 +994,15 @@ class BooleanField(Field):
             defaults = {'form_class': form_class, 'required': False}
         return super().formfield(**{**defaults, **kwargs})
 
+    def select_format(self, compiler, sql, params):
+        sql, params = super().select_format(compiler, sql, params)
+        # Filters that match everything are handled as empty strings in the
+        # WHERE clause, but in SELECT or GROUP BY list they must use a
+        # predicate that's always True.
+        if sql == '':
+            sql = '1'
+        return sql, params
+
 
 class CharField(Field):
     description = _("String (up to %(max_length)s)")
diff --git a/tests/annotations/tests.py b/tests/annotations/tests.py
index 62912ee99c..2c2b946835 100644
--- a/tests/annotations/tests.py
+++ b/tests/annotations/tests.py
@@ -210,6 +210,26 @@ class NonAggregateAnnotationTestCase(TestCase):
         self.assertEqual(len(books), Book.objects.count())
         self.assertTrue(all(not book.selected for book in books))
 
+    def test_full_expression_annotation(self):
+        books = Book.objects.annotate(
+            selected=ExpressionWrapper(~Q(pk__in=[]), output_field=BooleanField()),
+        )
+        self.assertEqual(len(books), Book.objects.count())
+        self.assertTrue(all(book.selected for book in books))
+
+    def test_full_expression_annotation_with_aggregation(self):
+        qs = Book.objects.filter(isbn='159059725').annotate(
+            selected=ExpressionWrapper(~Q(pk__in=[]), output_field=BooleanField()),
+            rating_count=Count('rating'),
+        )
+        self.assertEqual([book.rating_count for book in qs], [1])
+
+    def test_aggregate_over_full_expression_annotation(self):
+        qs = Book.objects.annotate(
+            selected=ExpressionWrapper(~Q(pk__in=[]), output_field=BooleanField()),
+        ).aggregate(Sum('selected'))
+        self.assertEqual(qs['selected__sum'], Book.objects.count())
+
     def test_empty_queryset_annotation(self):
         qs = Author.objects.annotate(
             empty=Subquery(Author.objects.values('id').none())