verilog, 107 bytes

Result

WA

Code [DL]

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

stdin

00011100
01110101
10101011
00110111
01110010
00011111
00100100
10010001
01101000
10111000
11111101
00000011
00101001
00001010
00111100
10010111
10001000
01000111
01101001
00010010
10100001
01001110
01011011
01111000
01100000
11010010
01000010
01110001
00000001
11000101
00001010
00101010
10011001
10001010
11011011
00000000
11110011
10100111
10100000
00010101
10111110
10111110
00110001
10101100
10010010
00000110
00001111
11101011
11100111
00101101

stdout

stderr

/volume/CODE:1: error: No function fscanf in this context (a).
1 error(s) during elaboration.
/home/esolang/bin/verilog: line 4: /tmp/code: No such file or directory
rm: cannot remove '/tmp/code': No such file or directory

strace