diff --git a/Lib/test/test_codecs.py b/Lib/test/test_codecs.py
index 9f73453..d0bcf56 100644
--- a/Lib/test/test_codecs.py
+++ b/Lib/test/test_codecs.py
@@ -338,6 +338,12 @@
             ]
         )
 
+    def test_handlers(self):
+        self.assertEqual(('\ufffd', 1),
+                         codecs.utf_32_decode(b'\x01', 'replace', True))
+        self.assertEqual(('', 1),
+                         codecs.utf_32_decode(b'\x01', 'ignore', True))
+
     def test_errors(self):
         self.assertRaises(UnicodeDecodeError, codecs.utf_32_decode,
                           b"\xff", "strict", True)
@@ -461,6 +467,12 @@
             ]
         )
 
+    def test_handlers(self):
+        self.assertEqual(('\ufffd', 1),
+                         codecs.utf_16_decode(b'\x01', 'replace', True))
+        self.assertEqual(('', 1),
+                         codecs.utf_16_decode(b'\x01', 'ignore', True))
+
     def test_errors(self):
         self.assertRaises(UnicodeDecodeError, codecs.utf_16_decode,
                           b"\xff", "strict", True)