csharp, 130 bytes

Result

WA

Code [DL]

using System;class E{static void Main(){try{for(;;)Console.Write(Math.Sqrt(8*Convert.ToByte(Console.ReadLine(),2)+1)%2==1?1:0);}}}

stdin

11001000
10001000
01101001
01011010
01011110
01001110
00101101
00011111
11111011
00100100
10111001
00011100
10011000
11001001
10010100
01111100
01110100
00111001
01010001
11101001
00000000
11100001
01111000
10011001
01010011
01101111
00110111
01000010
00100101
00011011
00001111
00001010
00110100
10111110
11110011
00000011
00010101
00000110
11010011
11100010
10101011
01101001
11010010
01011011
11100111
11100101
11111101
00000001
00001010
01000011

stdout

Compilation failed: 1 error(s), 0 warnings

stderr

/tmp/code.cs(1,128): error CS1524: Unexpected symbol `}', expecting `catch' or `finally'
Cannot open assembly '/tmp/code.exe': No such file or directory.
rm: cannot remove '/tmp/code.exe': No such file or directory

strace