It's probably worth pointing out: you have the same problems if you're using CFB, OFB, or CTR mode (these are the "stream cipher" modes for DES/AES/whatever that encrypt one byte at a time). There's apocrypha about these modes not being vulnerable to the attack. Bad apocrypha:
Set up an encryptor:
A decryptor: Encrypt something: Make an XOR mask: XOR it into the ciphertext: NOW decrypt it: