verilog, 86 bytes

Result

WA

Code [DL]

module a;real x;repeat(50)$write("%d",$fscanf(1<<31,"%b",x)==(8*x+1)**0.5%2);endmodule

stdin

00001010
11110000
00101101
00000000
01110110
11011110
00000110
00100100
10011001
01111000
01111111
00011010
10001000
00001110
11011111
01001110
10000111
11110111
00000001
10011001
10111110
10101011
11111101
10110111
01000011
01000010
11001111
11010010
10100011
01011011
00001111
00110010
11100111
11011101
01010011
00011100
00000011
01101100
10100111
00110111
10001111
10100001
01101001
00101111
11110100
10110100
00001010
00010101
10010101
00100110

stdout

stderr

/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