csharp, 133 bytes

Result

WA

Code [DL]

using System;class _{static void Main(){for(int i=0;i++<50;Console.Write(Math.Sqrt(1+8*Convert.ToByte(Console.ReadLine(),2))%1^1));}}

stdin

10011001
10101001
10000011
00000000
11010010
00001011
10100001
11111101
01010010
10011011
10101011
10000010
00000001
01101111
00111001
01101010
01010101
01110110
01110011
00100100
01101001
00000011
00010001
11000110
00010101
01001110
00001111
10001000
11001010
00011100
11110100
01000010
00110111
11111011
00110111
00001010
01011011
10011110
10111110
01010001
00010011
11011110
01111000
11100111
11001110
00000110
01001111
11111101
00101101
00111011

stdout

Compilation failed: 1 error(s), 0 warnings

stderr

/tmp/code.cs(1,79): error CS0019: Operator `^' cannot be applied to operands of type `double' and `int'
Cannot open assembly '/tmp/code.exe': No such file or directory.
rm: cannot remove '/tmp/code.exe': No such file or directory

strace