diff --git a/Lib/test/test_builtin.py b/Lib/test/test_builtin.py
index 58cb29b..a11e40a 100644
--- a/Lib/test/test_builtin.py
+++ b/Lib/test/test_builtin.py
@@ -1383,6 +1383,15 @@
         self.assertEqual(ord(' '), 32)
         self.assertEqual(ord('A'), 65)
         self.assertEqual(ord('a'), 97)
+        self.assertEqual(ord('\x80'), 128)
+        self.assertEqual(ord('\xff'), 255)
+
+        self.assertEqual(ord(b' '), 32)
+        self.assertEqual(ord(b'A'), 65)
+        self.assertEqual(ord(b'a'), 97)
+        self.assertEqual(ord(b'\x80'), 128)
+        self.assertEqual(ord(b'\xff'), 255)
+
         if have_unicode:
             self.assertEqual(ord(chr(sys.maxunicode)), sys.maxunicode)
         self.assertRaises(TypeError, ord, 42)
diff --git a/Lib/test/test_bytes.py b/Lib/test/test_bytes.py
index ded0491..33a4b0d 100644
--- a/Lib/test/test_bytes.py
+++ b/Lib/test/test_bytes.py
@@ -671,6 +671,11 @@
         self.assertEqual(b.rstrip(b'im'), b'mississipp')
         self.assertEqual(b.rstrip(b'pim'), b'mississ')
 
+    def test_ord(self):
+        b = b'\0A\x7f\x80\xff'
+        self.assertEqual([ord(b[i:i+1]) for i in range(len(b))],
+                         [0, 65, 127, 128, 255])
+
     # Optimizations:
     # __iter__? (optimization)
     # __reversed__? (optimization)