diff --git a/Lib/test/test_decimal.py b/Lib/test/test_decimal.py
index 92b029e..e82a9b9 100644
--- a/Lib/test/test_decimal.py
+++ b/Lib/test/test_decimal.py
@@ -432,9 +432,6 @@
         self.assertEqual(str(Decimal(u'-Inf')), '-Infinity')
         self.assertEqual(str(Decimal(u'NaN123')), 'NaN123')
 
-        #but alternate unicode digits should not
-        self.assertEqual(str(Decimal(u'\uff11')), 'NaN')
-
     def test_explicit_from_tuples(self):
 
         #zero
@@ -541,6 +538,15 @@
         d = nc.create_decimal(prevdec)
         self.assertEqual(str(d), '5.00E+8')
 
+    def test_unicode_digits(self):
+        test_values = {
+            u'\uff11': '1',
+            u'\u0660.\u0660\u0663\u0667\u0662e-\u0663' : '0.0000372',
+            u'-nan\u0c68\u0c6a\u0c66\u0c66' : '-NaN2400',
+            }
+        for input, expected in test_values.items():
+            self.assertEqual(str(Decimal(input)), expected)
+
 
 class DecimalImplicitConstructionTest(unittest.TestCase):
     '''Unit tests for Implicit Construction cases of Decimal.'''