csharp, 135 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))%1^0.0));}}

stdin

00000011
10111110
00001010
00101101
11111010
10101000
00011111
00011110
00100011
01010101
01011011
01110011
01101001
10010101
10010010
10011110
11101010
11100101
00000000
10111101
01001110
11000010
10010000
11010010
00101000
00000110
10101011
10001000
10011010
01110001
00001111
11100000
10100010
00110111
11100111
11111101
00100100
11111001
10101011
10011001
00010101
01111000
00001111
01000010
01001001
00000001
01010010
00011100
00111110
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 `double'
Cannot open assembly '/tmp/code.exe': No such file or directory.
rm: cannot remove '/tmp/code.exe': No such file or directory

strace