goruby, 32 bytes

Result

WA

Code [DL]

lp{p 8*g.t_i(2).c**0.5%2==1?1:0}

stdin

11101011
01001011
01000110
10010100
00111110
10011001
01011011
00011100
00001111
01000010
10101001
01111000
01110110
11101100
10111110
10110010
11010010
00000011
11100111
00100111
00001000
11110100
11100111
00101101
11001110
01001101
10101011
01001110
00100100
11111010
01101001
11001101
00100011
11010000
10100101
10010010
10011101
10001010
11000000
10100000
00000001
00110111
11111101
00101101
01111100
00001010
00000000
10001000
00010101
00000110

stdout

stderr

<internal:golf_prelude>:14:in `method_missing': undefined method `**' for #<Array:0x007f988427f370> (NoMethodError)
	from /volume/CODE:1:in `block in <main>'
	from <internal:golf_prelude>:11:in `block in method_missing'
	from <internal:golf_prelude>:9:in `loop'
	from <internal:golf_prelude>:9:in `method_missing'
	from /volume/CODE:1:in `<main>'

strace