verilog, 261 bytes

Result

WA

Code [DL]

module cat;logic c,i,d,s;initial begin s=1<<31; c=$fgetc(s);while(!(&c))begin d=0;while(c!=10)begin d=d*2;d=d+c-48;c=$fgetc(s);end i=1;while(d>0)begin d=d-i;i=i+1;end if(d==0)begin $write("%d ",1);end else begin $write("%d ",0);end c=$fgetc(s);end end endmodule

stdin

00000001
00011100
11100011
00010101
00100001
10011001
01011011
10111000
11010010
10101110
00000110
01101100
01011110
01001110
00111110
01101001
00000000
00010111
00001111
10001000
00110110
00001010
01100100
00101101
10000110
11111101
00011011
11101101
00101000
11100111
00110111
01111000
00110000
01101000
00000111
11111101
10101011
10111110
01100111
10101100
00000011
00101111
11100111
00111101
11100100
11110101
01000010
10110110
10001110
00100100

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