verilog, 86 bytes

Result

WA

Code [DL]

module a;initial for(real x;$fscanf(1<<31,"%b",x);$write((8*x+1)**0.5%2==1));endmodule

stdin

10000001
00000110
10011110
01101011
10101001
10011111
11100111
10011001
11110111
11100101
01001101
10111011
00001111
01110111
10111110
11110110
11111110
10011000
01000010
00011111
01011011
00101101
11111010
01101001
10000111
01111000
10001000
00001010
11010010
10100100
11011110
11111101
10100010
00100100
00110111
01000000
01011011
00100100
00010101
00011100
10101111
00000001
01001110
00010010
01100110
10101011
00000000
00000011
00001000
01111010

stdout

stderr

/volume/CODE:1: syntax error
/volume/CODE:1: error: malformed statement
/volume/CODE:1: error: Incomprehensible for loop.
/volume/CODE:1: syntax error
/volume/CODE:1: error: invalid module item.
/home/esolang/bin/verilog: line 4: /tmp/code: No such file or directory
rm: cannot remove '/tmp/code': No such file or directory

strace