verilog, 86 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

11001110
00000110
00000000
01111000
00100100
00001010
10111110
01000011
00000011
01001100
11101000
00010101
01110111
10111001
11010010
00111010
00111000
01001110
10000011
01011111
00110111
10101011
10010011
11100111
01101001
11110100
11000000
10011001
01010010
10010010
00010110
00101101
00000001
01101001
10111101
00001111
00101010
11000011
11101111
01000010
11010110
10001000
11111101
00011100
01011011
00110000
01001001
11010010
11010111
10111000

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