I want to be able to read and write a large file in parallel, or if not in parallel, at least in blocks so that I don't use up so much memory.

This is my current code:

        // Define memory stream which will be used to hold encrypted data.
        MemoryStream memoryStream = new MemoryStream();

        // Define cryptographic stream (always use Write mode for encryption).
        CryptoStream cryptoStream = new CryptoStream(memoryStream,
                                                     encryptor,
                                                     CryptoStreamMode.Write);

        //start encrypting
        using (BinaryReader reader = new BinaryReader(File.Open(fileIn, FileMode.Open))) {
            byte[] buffer = new byte[1024 * 1024];
            int read = 0;

            do {
                read = reader.Read(buffer, 0, buffer.Length);
                cryptoStream.Write(buffer, 0, read);
            } while (read == buffer.Length);

        }
        // Finish encrypting.
        cryptoStream.FlushFinalBlock();

        // Convert our encrypted data from a memory stream into a byte array.
        //byte[] cipherTextBytes = memoryStream.ToArray();

        //write our memory stream to a file
        memoryStream.Position = 0;
        using (BinaryWriter writer = new BinaryWriter(File.Open(fileOut, FileMode.Create))) {
            byte[] buffer = new byte[1024 * 1024];
            int read = 0;

            do {
                read = memoryStream.Read(buffer, 0, buffer.Length);
                writer.Write(buffer, 0, read);
            } while (read == buffer.Length);
        }


        // Close both streams.
        memoryStream.Close();
        cryptoStream.Close();

As you can see, it reads the entire file into memory, encrypts it, then writes it out. If I happen to be encrypting files that are very large (2GB+) it tends not to work, or at the very least, consumes ~97% of my memory.

How could I do it in a more effective manner?