cjam, 25 bytes

Result

AC

Code [DL]

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

stdin

10101011
00101101
01111010
01011001
01001110
00011100
00101010
01111110
11011011
10111110
11010010
10011100
01111100
10001000
10010010
11111101
10000011
00100100
00001010
01111000
01011011
01000010
01101001
00101110
00000011
11110010
01001001
00010011
11100111
10101001
10011001
00000000
10000100
00111011
00000110
00010101
00001111
01011101
01111000
00000001
00010001
11110110
01010011
11110101
00000101
00110111
01000110
11011110
10011001
01011111

stdout

11001100011001010111111010001011001110110000010010

stderr

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

{li10b2b8*1+.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