verilog, 85 bytes

Result

WA

Code [DL]

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

stdin

01001001
00100100
10011000
10110111
01001110
10111110
00010101
01001000
00110110
11011100
11010010
01110100
00100100
00000111
00000001
01000010
11110010
10101011
10010101
01011011
00000000
10110100
10010011
00110000
01001011
01001110
00101011
11111101
00010001
00010011
11000101
00000011
00110010
00001010
00100011
01101001
10001000
00110111
01111000
11100001
00101101
00001111
10001011
00000110
10011001
10111100
00011100
00001011
00001001
11100111

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