csharp, 131 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));}}

stdin

10110100
00101001
11100111
00010010
11010100
11110011
11001111
11110100
00101000
00011111
10010011
01011011
00011100
01101001
00010100
00110111
11000010
01110000
10101011
00000100
00101110
01011011
10100010
01000101
11000000
11011101
00001010
00101101
01001100
00001111
00000110
10011110
00000000
01111101
00100100
11010010
01101110
10001000
00111100
01111000
11111101
00000001
10111110
01001110
10111111
01000010
00000011
10011001
00010101
11100111

stdout

0.9605057922046140.13835714721705400.04159457879229580.1946598480919590.102154142399890.706264874095240.1927595879687090.9164728671689170.7797338380594990.3074335968168850000.6885775404495200.4081209904760640.94995826374387300.7445626465380290.20937271229854600.01388621073821380.5159520326096930.2045915678253180.0594816896261818000.677925358506133000.56683848755747600.63858403911275000.68164415931165900.931712199461309000000.10242959203430500000

stderr

strace