cjam, 24 bytes

Result

AC

Code [DL]

{li10b2b8*).5#1%0 1?o1}g

stdin

10001001
01111001
00110101
00000110
11100001
00001100
00011110
00011100
01010001
01001110
00101001
00111100
11010010
11100000
01101001
00000001
00111111
00010101
11001100
11100110
01111000
00100100
00001010
01000010
10110100
01111111
10001000
00101101
10001010
00001111
01100010
11111101
11100111
10011010
00011010
01001111
00000011
11000101
10111110
10001000
00000000
00110111
10000101
10101011
00001010
11111001
10011001
10100101
01011011
10101000

stdout

00010001010010110100111100110101100010111101101010

stderr

{li10b2b8*).55#1%0 1?o1}
  ^

{li10b2b8*).55#1%0 1?o1}g
                       ^
NumberFormatException: For input string: "
"
Java exception:
java.lang.NumberFormatException: For input string: "
"
	at java.lang.NumberFormatException.forInputString(NumberFormatException.java:65)
	at java.lang.Long.parseLong(Long.java:578)
	at java.lang.Long.parseLong(Long.java:631)
	at net.aditsu.cjam.Ops$21.calc(Ops.java:730)
	at net.aditsu.cjam.Op1.run(Op1.java:11)
	at net.aditsu.cjam.Block.run(Block.java:302)
	at net.aditsu.cjam.Ops$29.calc(Ops.java:854)
	at net.aditsu.cjam.Op1.run(Op1.java:11)
	at net.aditsu.cjam.Block.run(Block.java:302)
	at net.aditsu.cjam.CJam.runCode(CJam.java:206)
	at net.aditsu.cjam.CJam.main(CJam.java:236)

strace