Solve the 3x+1 Problem by the Multiplication and Division of Binary Numbers
The 3 + 1 problem is the following: Suppose we start with a positive integer, and if it is odd then multiply it by 3 and add 1, and if it is even, divide it by 2. Then repeat this process as long as you can. Will you eventually reach the integer 1, no matter what you started with? Collatz conjecture (or 3 + 1 problem) has been explored for about 85 years. In this paper, we convert an integer number from decimal to binary and convert the Collatz function to a binary function, which involves the multiplication and division of two binary numbers. Finally, by iterating the Collatz function, we eventually reach the integer number 1.
