diff --git a/borg/remote.py b/borg/remote.py
index 5c42b58a1..debb003fe 100644
--- a/borg/remote.py
+++ b/borg/remote.py
@@ -37,6 +37,14 @@ class InvalidRPCMethod(Error):
     """RPC method {} is not valid"""
 
 
+class UnexpectedRPCDataFormatFromClient(Error):
+    """Borg {}: Got unexpected RPC data format from client."""
+
+
+class UnexpectedRPCDataFormatFromServer(Error):
+    """Got unexpected RPC data format from server."""
+
+
 class RepositoryServer:  # pragma: no cover
     rpc_methods = (
         '__len__',
@@ -87,7 +95,7 @@ class RepositoryServer:  # pragma: no cover
                     if not (isinstance(unpacked, tuple) and len(unpacked) == 4):
                         if self.repository is not None:
                             self.repository.close()
-                        raise Exception("Unexpected RPC data format.")
+                        raise UnexpectedRPCDataFormatFromClient(__version__)
                     type, msgid, method, args = unpacked
                     method = method.decode('ascii')
                     try:
@@ -328,7 +336,7 @@ This problem will go away as soon as the server has been upgraded to 1.0.7+.
                     self.unpacker.feed(data)
                     for unpacked in self.unpacker:
                         if not (isinstance(unpacked, tuple) and len(unpacked) == 4):
-                            raise Exception("Unexpected RPC data format.")
+                            raise UnexpectedRPCDataFormatFromServer()
                         type, msgid, error, res = unpacked
                         if msgid in self.ignore_responses:
                             self.ignore_responses.remove(msgid)