python3, 46 bytes

Result

WA

Code [DL]

while 1:print((int(int(input())*8+1)**.5%1)^1)

stdin

10010101
00011110
10101011
00000100
01000010
00010101
00001010
11010011
01111000
00000000
00110111
11100111
11111101
00000111
10011010
01110101
10001011
01011011
01101000
00000110
00110000
00011000
11000110
00011100
11101011
01111000
11010010
00000001
01101001
01100110
00010101
00101101
00001111
01001110
10110110
11100001
10011001
00000011
01011101
01010110
10111110
00100101
00100100
00110110
10001000
11010001
11000001
10010110
10000011
00000010

stdout

stderr

Traceback (most recent call last):
  File "/volume/CODE", line 1, in <module>
    while 1:print((int(int(input())*8+1)**.5%1)^1)
TypeError: unsupported operand type(s) for ^: 'float' and 'int'

strace