diff --git a/cryptography/hazmat/backends/multibackend.py b/cryptography/hazmat/backends/multibackend.py
index de1fff7..cca82a5 100644
--- a/cryptography/hazmat/backends/multibackend.py
+++ b/cryptography/hazmat/backends/multibackend.py
@@ -14,7 +14,9 @@
 from __future__ import absolute_import, division, print_function
 
 from cryptography import utils
-from cryptography.exceptions import UnsupportedAlgorithm
+from cryptography.exceptions import (
+    UnsupportedAlgorithm, UnsupportedCipher, UnsupportedHash
+)
 from cryptography.hazmat.backends.interfaces import (
     CipherBackend, HashBackend, HMACBackend, PBKDF2HMACBackend, RSABackend
 )
@@ -46,17 +48,17 @@
         for b in self._filtered_backends(CipherBackend):
             try:
                 return b.create_symmetric_encryption_ctx(algorithm, mode)
-            except UnsupportedAlgorithm:
+            except UnsupportedCipher:
                 pass
-        raise UnsupportedAlgorithm
+        raise UnsupportedCipher
 
     def create_symmetric_decryption_ctx(self, algorithm, mode):
         for b in self._filtered_backends(CipherBackend):
             try:
                 return b.create_symmetric_decryption_ctx(algorithm, mode)
-            except UnsupportedAlgorithm:
+            except UnsupportedCipher:
                 pass
-        raise UnsupportedAlgorithm
+        raise UnsupportedCipher
 
     def hash_supported(self, algorithm):
         return any(
@@ -68,9 +70,9 @@
         for b in self._filtered_backends(HashBackend):
             try:
                 return b.create_hash_ctx(algorithm)
-            except UnsupportedAlgorithm:
+            except UnsupportedHash:
                 pass
-        raise UnsupportedAlgorithm
+        raise UnsupportedHash
 
     def hmac_supported(self, algorithm):
         return any(
@@ -82,9 +84,9 @@
         for b in self._filtered_backends(HMACBackend):
             try:
                 return b.create_hmac_ctx(key, algorithm)
-            except UnsupportedAlgorithm:
+            except UnsupportedHash:
                 pass
-        raise UnsupportedAlgorithm
+        raise UnsupportedHash
 
     def pbkdf2_hmac_supported(self, algorithm):
         return any(
@@ -99,9 +101,9 @@
                 return b.derive_pbkdf2_hmac(
                     algorithm, length, salt, iterations, key_material
                 )
-            except UnsupportedAlgorithm:
+            except UnsupportedHash:
                 pass
-        raise UnsupportedAlgorithm
+        raise UnsupportedHash
 
     def generate_rsa_private_key(self, public_exponent, key_size):
         for b in self._filtered_backends(RSABackend):
diff --git a/cryptography/hazmat/primitives/kdf/pbkdf2.py b/cryptography/hazmat/primitives/kdf/pbkdf2.py
index 71b8821..3942778 100644
--- a/cryptography/hazmat/primitives/kdf/pbkdf2.py
+++ b/cryptography/hazmat/primitives/kdf/pbkdf2.py
@@ -17,7 +17,7 @@
 
 from cryptography import utils
 from cryptography.exceptions import (
-    InvalidKey, UnsupportedAlgorithm, AlreadyFinalized
+    InvalidKey, UnsupportedHash, AlreadyFinalized
 )
 from cryptography.hazmat.primitives import constant_time, interfaces
 
@@ -26,7 +26,7 @@
 class PBKDF2HMAC(object):
     def __init__(self, algorithm, length, salt, iterations, backend):
         if not backend.pbkdf2_hmac_supported(algorithm):
-            raise UnsupportedAlgorithm(
+            raise UnsupportedHash(
                 "{0} is not supported for PBKDF2 by this backend".format(
                     algorithm.name)
             )
diff --git a/docs/exceptions.rst b/docs/exceptions.rst
index 7f9ae34..48c4bca 100644
--- a/docs/exceptions.rst
+++ b/docs/exceptions.rst
@@ -25,11 +25,24 @@
     This is raised when additional data is added to a context after update
     has already been called.
 
+.. class:: UnsupportedCipher
 
-.. class:: UnsupportedAlgorithm
+    .. versionadded:: 0.3
 
-    This is raised when a backend doesn't support the requested algorithm (or
-    combination of algorithms).
+    This is raised when a backend doesn't support the requested cipher
+    algorithm and mode combination.
+
+.. class:: UnsupportedHash
+
+    .. versionadded:: 0.3
+
+    This is raised when a backend doesn't support the requested hash algorithm.
+
+.. class:: UnsupportedPadding
+
+    .. versionadded:: 0.3
+
+    This is raised when the requested padding is not supported by the backend.
 
 
 .. class:: InvalidKey
@@ -43,7 +56,3 @@
     This is raised when the verify method of a one time password function's
     computed token does not match the expected token.
 
-
-.. class:: UnsupportedPadding
-
-    This is raised when the chosen padding is not supported by the backend.
diff --git a/docs/faq.rst b/docs/faq.rst
index cbbb74a..4bce417 100644
--- a/docs/faq.rst
+++ b/docs/faq.rst
@@ -14,5 +14,7 @@
 
 If you prefer NaCl's design, we highly recommend `PyNaCl`_.
 
+Also, we have a version control system.
+
 .. _`NaCl`: http://nacl.cr.yp.to/
 .. _`PyNaCl`: https://pynacl.readthedocs.org
diff --git a/docs/hazmat/backends/interfaces.rst b/docs/hazmat/backends/interfaces.rst
index af19fbc..a7a9661 100644
--- a/docs/hazmat/backends/interfaces.rst
+++ b/docs/hazmat/backends/interfaces.rst
@@ -258,7 +258,7 @@
     style key serialization.
 
     .. method:: load_openssl_pem_private_key(data, password)
-       
+
         :param bytes data: PEM data to deserialize.
 
         :param bytes password: The password to use if this data is encrypted.
diff --git a/docs/hazmat/primitives/cryptographic-hashes.rst b/docs/hazmat/primitives/cryptographic-hashes.rst
index 6c56aca..86b8585 100644
--- a/docs/hazmat/primitives/cryptographic-hashes.rst
+++ b/docs/hazmat/primitives/cryptographic-hashes.rst
@@ -29,7 +29,7 @@
         'l\xa1=R\xcap\xc8\x83\xe0\xf0\xbb\x10\x1eBZ\x89\xe8bM\xe5\x1d\xb2\xd29%\x93\xafj\x84\x11\x80\x90'
 
     If the backend doesn't support the requested ``algorithm`` an
-    :class:`~cryptography.exceptions.UnsupportedAlgorithm` will be raised.
+    :class:`~cryptography.exceptions.UnsupportedHash` will be raised.
 
     Keep in mind that attacks against cryptographic hashes only get stronger
     with time, and that often algorithms that were once thought to be strong,
diff --git a/docs/hazmat/primitives/hmac.rst b/docs/hazmat/primitives/hmac.rst
index 0118be7..1a2838f 100644
--- a/docs/hazmat/primitives/hmac.rst
+++ b/docs/hazmat/primitives/hmac.rst
@@ -35,7 +35,7 @@
         '#F\xdaI\x8b"e\xc4\xf1\xbb\x9a\x8fc\xff\xf5\xdex.\xbc\xcd/+\x8a\x86\x1d\x84\'\xc3\xa6\x1d\xd8J'
 
     If the backend doesn't support the requested ``algorithm`` an
-    :class:`~cryptography.exceptions.UnsupportedAlgorithm` will be raised.
+    :class:`~cryptography.exceptions.UnsupportedHash` will be raised.
 
     To check that a given signature is correct use the :meth:`verify` method.
     You will receive an exception if the signature is wrong:
diff --git a/docs/hazmat/primitives/symmetric-encryption.rst b/docs/hazmat/primitives/symmetric-encryption.rst
index 2306c5b..2bc25c5 100644
--- a/docs/hazmat/primitives/symmetric-encryption.rst
+++ b/docs/hazmat/primitives/symmetric-encryption.rst
@@ -61,7 +61,7 @@
             provider.
 
         If the backend doesn't support the requested combination of ``cipher``
-        and ``mode`` an :class:`~cryptography.exceptions.UnsupportedAlgorithm`
+        and ``mode`` an :class:`~cryptography.exceptions.UnsupportedCipher`
         will be raised.
 
     .. method:: decryptor()
@@ -71,7 +71,7 @@
             provider.
 
         If the backend doesn't support the requested combination of ``cipher``
-        and ``mode`` an :class:`cryptography.exceptions.UnsupportedAlgorithm`
+        and ``mode`` an :class:`cryptography.exceptions.UnsupportedCipher`
         will be raised.
 
 .. _symmetric-encryption-algorithms:
diff --git a/tests/hazmat/backends/test_commoncrypto.py b/tests/hazmat/backends/test_commoncrypto.py
index 7cc0f72..7feb0c7 100644
--- a/tests/hazmat/backends/test_commoncrypto.py
+++ b/tests/hazmat/backends/test_commoncrypto.py
@@ -14,7 +14,7 @@
 import pytest
 
 from cryptography import utils
-from cryptography.exceptions import UnsupportedAlgorithm, InternalError
+from cryptography.exceptions import UnsupportedCipher, InternalError
 from cryptography.hazmat.bindings.commoncrypto.binding import Binding
 from cryptography.hazmat.primitives import interfaces
 from cryptography.hazmat.primitives.ciphers.algorithms import AES
@@ -61,5 +61,5 @@
         cipher = Cipher(
             DummyCipher(), GCM(b"fake_iv_here"), backend=b,
         )
-        with pytest.raises(UnsupportedAlgorithm):
+        with pytest.raises(UnsupportedCipher):
             cipher.encryptor()
diff --git a/tests/hazmat/backends/test_multibackend.py b/tests/hazmat/backends/test_multibackend.py
index 6316818..87ef044 100644
--- a/tests/hazmat/backends/test_multibackend.py
+++ b/tests/hazmat/backends/test_multibackend.py
@@ -14,7 +14,9 @@
 import pytest
 
 from cryptography import utils
-from cryptography.exceptions import UnsupportedAlgorithm
+from cryptography.exceptions import (
+    UnsupportedAlgorithm, UnsupportedCipher, UnsupportedHash
+)
 from cryptography.hazmat.backends.interfaces import (
     CipherBackend, HashBackend, HMACBackend, PBKDF2HMACBackend, RSABackend
 )
@@ -34,11 +36,11 @@
 
     def create_symmetric_encryption_ctx(self, algorithm, mode):
         if not self.cipher_supported(algorithm, mode):
-            raise UnsupportedAlgorithm
+            raise UnsupportedCipher
 
     def create_symmetric_decryption_ctx(self, algorithm, mode):
         if not self.cipher_supported(algorithm, mode):
-            raise UnsupportedAlgorithm
+            raise UnsupportedCipher
 
 
 @utils.register_interface(HashBackend)
@@ -51,7 +53,7 @@
 
     def create_hash_ctx(self, algorithm):
         if not self.hash_supported(algorithm):
-            raise UnsupportedAlgorithm
+            raise UnsupportedHash
 
 
 @utils.register_interface(HMACBackend)
@@ -64,7 +66,7 @@
 
     def create_hmac_ctx(self, key, algorithm):
         if not self.hmac_supported(algorithm):
-            raise UnsupportedAlgorithm
+            raise UnsupportedHash
 
 
 @utils.register_interface(PBKDF2HMACBackend)
@@ -78,7 +80,7 @@
     def derive_pbkdf2_hmac(self, algorithm, length, salt, iterations,
                            key_material):
         if not self.pbkdf2_hmac_supported(algorithm):
-            raise UnsupportedAlgorithm
+            raise UnsupportedHash
 
 
 @utils.register_interface(RSABackend)
@@ -119,9 +121,9 @@
             modes.CBC(b"\x00" * 16),
             backend=backend
         )
-        with pytest.raises(UnsupportedAlgorithm):
+        with pytest.raises(UnsupportedCipher):
             cipher.encryptor()
-        with pytest.raises(UnsupportedAlgorithm):
+        with pytest.raises(UnsupportedCipher):
             cipher.decryptor()
 
     def test_hashes(self):
@@ -132,7 +134,7 @@
 
         hashes.Hash(hashes.MD5(), backend=backend)
 
-        with pytest.raises(UnsupportedAlgorithm):
+        with pytest.raises(UnsupportedHash):
             hashes.Hash(hashes.SHA1(), backend=backend)
 
     def test_hmac(self):
@@ -143,7 +145,7 @@
 
         hmac.HMAC(b"", hashes.MD5(), backend=backend)
 
-        with pytest.raises(UnsupportedAlgorithm):
+        with pytest.raises(UnsupportedHash):
             hmac.HMAC(b"", hashes.SHA1(), backend=backend)
 
     def test_pbkdf2(self):
@@ -154,7 +156,7 @@
 
         backend.derive_pbkdf2_hmac(hashes.MD5(), 10, b"", 10, b"")
 
-        with pytest.raises(UnsupportedAlgorithm):
+        with pytest.raises(UnsupportedHash):
             backend.derive_pbkdf2_hmac(hashes.SHA1(), 10, b"", 10, b"")
 
     def test_rsa(self):
diff --git a/tests/hazmat/backends/test_openssl.py b/tests/hazmat/backends/test_openssl.py
index 42c1b39..c679218 100644
--- a/tests/hazmat/backends/test_openssl.py
+++ b/tests/hazmat/backends/test_openssl.py
@@ -14,7 +14,9 @@
 import pytest
 
 from cryptography import utils
-from cryptography.exceptions import UnsupportedAlgorithm, InternalError
+from cryptography.exceptions import (
+    UnsupportedCipher, UnsupportedHash, InternalError
+)
 from cryptography.hazmat.backends.openssl.backend import backend, Backend
 from cryptography.hazmat.primitives import interfaces, hashes
 from cryptography.hazmat.primitives.ciphers import Cipher
@@ -68,7 +70,7 @@
         cipher = Cipher(
             DummyCipher(), mode, backend=b,
         )
-        with pytest.raises(UnsupportedAlgorithm):
+        with pytest.raises(UnsupportedCipher):
             cipher.encryptor()
 
     def test_consume_errors(self):
@@ -130,7 +132,7 @@
     def test_derive_pbkdf2_raises_unsupported_on_old_openssl(self):
         if backend.pbkdf2_hmac_supported(hashes.SHA256()):
             pytest.skip("Requires an older OpenSSL")
-        with pytest.raises(UnsupportedAlgorithm):
+        with pytest.raises(UnsupportedHash):
             backend.derive_pbkdf2_hmac(hashes.SHA256(), 10, b"", 1000, b"")
 
     # This test is not in the next class because to check if it's really
diff --git a/tests/hazmat/primitives/test_block.py b/tests/hazmat/primitives/test_block.py
index f758ffa..8ff00fd 100644
--- a/tests/hazmat/primitives/test_block.py
+++ b/tests/hazmat/primitives/test_block.py
@@ -18,9 +18,7 @@
 import pytest
 
 from cryptography import utils
-from cryptography.exceptions import (
-    UnsupportedAlgorithm, AlreadyFinalized,
-)
+from cryptography.exceptions import UnsupportedCipher, AlreadyFinalized
 from cryptography.hazmat.primitives import interfaces
 from cryptography.hazmat.primitives.ciphers import (
     Cipher, algorithms, modes
@@ -116,10 +114,10 @@
         cipher = Cipher(
             DummyCipher(), mode, backend
         )
-        with pytest.raises(UnsupportedAlgorithm):
+        with pytest.raises(UnsupportedCipher):
             cipher.encryptor()
 
-        with pytest.raises(UnsupportedAlgorithm):
+        with pytest.raises(UnsupportedCipher):
             cipher.decryptor()
 
     def test_incorrectly_padded(self, backend):
diff --git a/tests/hazmat/primitives/test_hashes.py b/tests/hazmat/primitives/test_hashes.py
index 9ca2fee..fc53d63 100644
--- a/tests/hazmat/primitives/test_hashes.py
+++ b/tests/hazmat/primitives/test_hashes.py
@@ -20,7 +20,7 @@
 import six
 
 from cryptography import utils
-from cryptography.exceptions import AlreadyFinalized, UnsupportedAlgorithm
+from cryptography.exceptions import AlreadyFinalized, UnsupportedHash
 from cryptography.hazmat.primitives import hashes, interfaces
 
 from .utils import generate_base_hash_test
@@ -65,7 +65,7 @@
             h.finalize()
 
     def test_unsupported_hash(self, backend):
-        with pytest.raises(UnsupportedAlgorithm):
+        with pytest.raises(UnsupportedHash):
             hashes.Hash(UnsupportedDummyHash(), backend)
 
 
diff --git a/tests/hazmat/primitives/test_hmac.py b/tests/hazmat/primitives/test_hmac.py
index dd9cdaa..88bed52 100644
--- a/tests/hazmat/primitives/test_hmac.py
+++ b/tests/hazmat/primitives/test_hmac.py
@@ -21,7 +21,7 @@
 
 from cryptography import utils
 from cryptography.exceptions import (
-    AlreadyFinalized, UnsupportedAlgorithm, InvalidSignature
+    AlreadyFinalized, UnsupportedHash, InvalidSignature
 )
 from cryptography.hazmat.primitives import hashes, hmac, interfaces
 
@@ -102,5 +102,5 @@
             h.verify(six.u(''))
 
     def test_unsupported_hash(self, backend):
-        with pytest.raises(UnsupportedAlgorithm):
+        with pytest.raises(UnsupportedHash):
             hmac.HMAC(b"key", UnsupportedDummyHash(), backend)
diff --git a/tests/hazmat/primitives/test_pbkdf2hmac.py b/tests/hazmat/primitives/test_pbkdf2hmac.py
index 6ad225a..f895935 100644
--- a/tests/hazmat/primitives/test_pbkdf2hmac.py
+++ b/tests/hazmat/primitives/test_pbkdf2hmac.py
@@ -18,7 +18,7 @@
 
 from cryptography import utils
 from cryptography.exceptions import (
-    InvalidKey, UnsupportedAlgorithm, AlreadyFinalized
+    InvalidKey, UnsupportedHash, AlreadyFinalized
 )
 from cryptography.hazmat.primitives import hashes, interfaces
 from cryptography.hazmat.primitives.kdf.pbkdf2 import PBKDF2HMAC
@@ -48,7 +48,7 @@
             kdf.verify(b"password", key)
 
     def test_unsupported_algorithm(self):
-        with pytest.raises(UnsupportedAlgorithm):
+        with pytest.raises(UnsupportedHash):
             PBKDF2HMAC(DummyHash(), 20, b"salt", 10, default_backend())
 
     def test_invalid_key(self):