c-gcc, 286 bytes

Result

WA

Code [DL]

#include<stdio.h>
main() {
    char s[8];
    for(int i=0;i<50;i++) {
        gets(s);
        int x=0;
        for(int j=0; j<8;j++)
        {
         x *= 2; x += (s[j]=='1');
        }
        int y = 1 + 8 * x;
        int z =(int)sqrt(y);
        printf("%d", z * z / y);
    }
}

stdin

00110111
00010101
01100001
01001110
01111000
01000010
00101101
00001000
00010001
11100110
01011011
10100011
00101101
01100010
00000011
00000001
01011001
01001010
01101001
10101011
00110010
11010010
00001010
10001000
00000110
11011010
10010110
11100111
10001110
11100010
00101000
00111011
10010101
01111011
10011001
00000010
10111110
11111101
01001111
00011100
11001011
00100100
00001111
11111000
11101110
00001010
00000000
10000110
10000011
00100101

stdout

stderr

/tmp/code.c:2:1: warning: return type defaults to ‘int’ [-Wimplicit-int]
 main() {
 ^
/tmp/code.c: In function ‘main’:
/tmp/code.c:5:9: warning: ‘gets’ is deprecated [-Wdeprecated-declarations]
         gets(s);
         ^
In file included from /usr/include/stdio.h:936:0,
                 from /tmp/code.c:1:
/usr/include/x86_64-linux-gnu/bits/stdio2.h:233:1: note: declared here
 gets (char *__str)
 ^
/tmp/code.c:12:21: warning: implicit declaration of function ‘sqrt’ [-Wimplicit-function-declaration]
         int z =(int)sqrt(y);
                     ^
/tmp/code.c:12:21: warning: incompatible implicit declaration of built-in function ‘sqrt’
/tmp/code.c:12:21: note: include ‘<math.h>’ or provide a declaration of ‘sqrt’
/tmp/code.c:5:9: warning: ignoring return value of ‘gets’, declared with attribute warn_unused_result [-Wunused-result]
         gets(s);
         ^
/tmp/ccKlCfrV.o: In function `main':
code.c:(.text.startup+0x31): warning: the `gets' function is dangerous and should not be used.
code.c:(.text.startup+0xae): undefined reference to `sqrt'
collect2: error: ld returned 1 exit status
/home/esolang/bin/c-gcc: line 6: /tmp/code: No such file or directory
rm: cannot remove '/tmp/code': No such file or directory

strace