Write a program that receives a real number in decimal (base 10) and converts it into binary. You must implement the algorithm discussed in Chapter 1 Input: x (0, 1), integer 2 and c0 = x; i = 0; while ci = 0 .and. i Imax do i = i + 1; bi = (ci1)I ; ci = (ci1)F ; end while Output: x = ( . b1b2b3 . . . bi) = i k=1 bk k . . You may not use libraries or built-in functions (e.g., Double.toHexString(...) in Java or {0:b}.format(...) in Python)