octave, 62 bytes

Result

WA

Code [DL]

while(1)printf("%b",rem((bin2dec(fgetl(0))*8+1)^.5,1))endwhile

stdin

00000011
10111110
01111000
00010101
10010110
00011010
00100000
01011110
10101011
01111100
11010001
01010001
00111001
11010010
11100111
10011011
00110011
00101101
10001101
00011100
10001000
11011100
00100100
01001100
00001010
00100110
00000001
11100111
11010100
01000010
11111101
00000011
00110111
10000001
10011001
01001110
00100111
00010001
01000001
00001111
11000110
00000000
11110110
10011111
11101101
00000110
01101001
01011011
11110101
11101001

stdout

stderr

octave: X11 DISPLAY environment variable not set
octave: disabling GUI features
error: printf: invalid format specified
error: execution exception in /volume/CODE

strace