goruby, 37 bytes

Result

WA

Code [DL]

loop{p (8*gt.oi(2)+1)**0.5%2==1 ?1:0}

stdin

11101000
00111010
00101101
00010101
00000011
10000110
00100101
00000110
00001111
10111110
11010110
01010111
00110010
11110110
10001011
10011001
11110111
01101000
10101110
01000000
01000010
10011001
11011111
10101011
11101001
00000001
00001110
00111011
01101101
10000010
01111000
00110111
10001000
10011101
01011011
01010010
00100100
10111011
00011100
01001110
11010010
00000000
01101001
00101100
01011011
11001100
00001010
00100011
11111101
11100111

stdout

stderr

<internal:golf_prelude>:14:in `object_id': wrong number of arguments (given 1, expected 0) (ArgumentError)
	from <internal:golf_prelude>:14:in `method_missing'
	from /volume/CODE:1:in `block in <main>'
	from /volume/CODE:1:in `loop'
	from /volume/CODE:1:in `<main>'

strace