diff --git a/Lib/test/test_binascii.py b/Lib/test/test_binascii.py
index 0ee842c4e9e..28908ef3775 100755
--- a/Lib/test/test_binascii.py
+++ b/Lib/test/test_binascii.py
@@ -84,4 +84,10 @@ def addnoise(line):
     res = res + b
 assert res == testdata
 
+# Test crc32()
+crc = binascii.crc32("Test the CRC-32 of")
+crc = binascii.crc32(" this string.", crc)
+if crc != 1571220330:
+    print "binascii.crc32() failed."
+
 # The hqx test is in test_binhex.py