vim, 146 bytes

Result

WA

Code [DL]

00000000  71 7a 22 61 78 22 62 78  22 63 78 22 64 78 22 65  |qz"ax"bx"cx"dx"e|
00000010  78 22 66 78 22 67 78 22  68 73 12 3d 70 6f 77 28  |x"fx"gx"hs.=pow(|
00000020  66 6c 6f 6f 72 28 73 71  72 74 28 40 61 2a 31 32  |floor(sqrt(@a*12|
00000030  38 2b 40 62 2a 36 34 2b  40 63 2a 33 32 2b 40 64  |8+@b*64+@c*32+@d|
00000040  2a 31 36 2b 40 65 2a 38  2b 40 66 2a 34 2b 40 67  |*16+@e*8+@f*4+@g|
00000050  2a 32 2b 40 68 29 29 2c  32 29 3d 3d 40 61 2a 31  |*2+@h)),2)==@a*1|
00000060  32 38 2b 40 62 2a 36 34  2b 40 63 2a 33 32 2b 40  |28+@b*64+@c*32+@|
00000070  64 2a 31 36 2b 40 65 2a  38 2b 40 66 2a 34 2b 40  |d*16+@e*8+@f*4+@|
00000080  67 2a 32 2b 40 68 0a 1b  6a 5e 71 34 39 40 7a 5a  |g*[email protected]^q49@zZ|
00000090  5a 0a                                             |Z.|
00000092

Disassembly

qz"ax"bx"cx"dx"ex"fx"gx"hs<C-R>=pow(floor(sqrt(@a*128+@b*64+@c*32+@d*16+@e*8+@f*4+@g*2+@h)),2)==@a*128+@b*64+@c*32+@d*16+@e*8+@f*4+@g*2+@h<NL><Esc>j^q49@zZZ<NL>

stdin

10011011
10101011
00010010
11111101
11100111
01001110
00011111
01101110
01001010
00110111
11011010
00101101
01100110
11111011
10111110
10010000
11010010
11100111
00111100
00100100
01101101
10100001
01011011
10011001
00000011
00000110
00011100
11000010
10001000
11100111
01111000
00001100
01000010
01011100
01111111
00100101
11001001
01010011
00011000
00000000
00001111
00001010
00000001
11110111
00010101
01101001
01010001
01110110
10000110
01010000

stdout

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stderr

strace