cobol85, 638 bytes

Result [link]

WA

Code [DL]

	IDENTIFICATION DIVISION.
	PROGRAM-ID. IDEONE.
 
	ENVIRONMENT DIVISION.
 
	DATA DIVISION.
	WORKING-STORAGE SECTION.
	01 b PIC X(100) .
	01 i PIC 9(3) .
	01 du PIC 9(15) VALUE 0.
	01 dl PIC 9(16) VALUE 0.
	01 d PIC X(31) .
	01 m PIC 9(16) VALUE 1000000000000000.
	01 c PIC 9 .
	01 q PIC 9 .
	01 r PIC 9(16) .
 
	PROCEDURE DIVISION.
		ACCEPT b
		PERFORM VARYING i FROM 1 BY 1 UNTIL i > 100
			COMPUTE du = du * 2
			COMPUTE dl = dl * 2
			MOVE b(i:1) TO c
			COMPUTE dl = dl + c
			DIVIDE dl BY m GIVING q REMAINDER r
			MOVE r TO dl
			COMPUTE du = du + q
		END-PERFORM.
		STRING
			du dl
			INTO d
		END-STRING.
		DISPLAY d.
		STOP RUN.
 

stdin

0111111101111000001110011010110110011101011001011000111000110100011010101010000011011010101101000001

stdout

6311990355709190282286758046528

stderr

strace