c-gcc, 70 bytes

Result

WA

Code [DL]

main(s,a){for(;;putchar(48+a*a/s))a=sqrt(s=strtol(gets(&s),0,2)*8+1);}

stdin

11100111
11100000
00001010
10001000
01001011
00000110
11111101
00110111
01010101
01100100
11100111
10101011
00100110
01111000
10111110
01001001
00100100
01101001
00110111
00000001
11000100
01001110
11000110
01110111
00101101
00100011
00111001
10101010
10000111
00011100
00011101
00000000
01101110
01001100
11010101
11110100
11010010
10100000
11000101
10011001
01000010
01011011
00001111
00000011
00111011
11111111
10000101
00010101
01001000
10000100

stdout

stderr

/tmp/code.c:1:1: warning: return type defaults to ‘int’ [-Wimplicit-int]
 main(s,a){for(;;putchar(48+a*a/s))a=sqrt(s=strtol(gets(&s),0,2)*8+1);}
 ^
/tmp/code.c: In function ‘main’:
/tmp/code.c:1:1: warning: type of ‘s’ defaults to ‘int’ [-Wimplicit-int]
/tmp/code.c:1:1: warning: type of ‘a’ defaults to ‘int’ [-Wimplicit-int]
/tmp/code.c:1:17: warning: implicit declaration of function ‘putchar’ [-Wimplicit-function-declaration]
 main(s,a){for(;;putchar(48+a*a/s))a=sqrt(s=strtol(gets(&s),0,2)*8+1);}
                 ^
/tmp/code.c:1:37: warning: implicit declaration of function ‘sqrt’ [-Wimplicit-function-declaration]
 main(s,a){for(;;putchar(48+a*a/s))a=sqrt(s=strtol(gets(&s),0,2)*8+1);}
                                     ^
/tmp/code.c:1:37: warning: incompatible implicit declaration of built-in function ‘sqrt’
/tmp/code.c:1:37: note: include ‘<math.h>’ or provide a declaration of ‘sqrt’
/tmp/code.c:1:44: warning: implicit declaration of function ‘strtol’ [-Wimplicit-function-declaration]
 main(s,a){for(;;putchar(48+a*a/s))a=sqrt(s=strtol(gets(&s),0,2)*8+1);}
                                            ^
/tmp/code.c:1:51: warning: implicit declaration of function ‘gets’ [-Wimplicit-function-declaration]
 main(s,a){for(;;putchar(48+a*a/s))a=sqrt(s=strtol(gets(&s),0,2)*8+1);}
                                                   ^
/tmp/ccoLDnls.o: In function `main':
code.c:(.text.startup+0x2c): warning: the `gets' function is dangerous and should not be used.
/home/esolang/bin/c-gcc: line 6:    13 Done                    cat -
        14 Segmentation fault      (core dumped) | /tmp/code

strace