verilog, 85 bytes

Result

WA

Code [DL]

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

stdin

10100110
10011110
10101110
11101101
11100111
01011111
10101011
01110011
00000000
10110100
00000001
11010010
00011100
00010101
01011001
10101011
10001000
00100010
10110001
00000001
00000011
10111111
00000010
00101101
01111000
01010100
10111110
00111110
10011001
10010101
11100101
10010010
00110101
00000110
01001110
01110000
01110110
01011011
01000010
00100100
00001010
00111011
11101000
01101001
11111101
00011001
01001101
00110111
00011010
00001111

stdout

stderr

/volume/CODE:1: syntax error
/volume/CODE:1: error: malformed statement
/volume/CODE:1: error: Error in while loop condition.
/home/esolang/bin/verilog: line 4: /tmp/code: No such file or directory
rm: cannot remove '/tmp/code': No such file or directory

strace