The following ciphertext was obtained by XORing an LFSR output with the plaintext.

$0.1,1,0,0,0,1,0,1,0,1,1,1,0,0,1,1,1,0,1,0,1,0,0,0,1,0,0,0,1,1,0,0,0,1,0,1,0,$

$1.1,1,0,0,1,1,1,0.1,0,1$

Suppose you know the plaintext starts

$1,0,0,1,0,0,1,0,0,1,0,0,1,0,0.$

Find the plaintext.