1. Dan Heflin

2. Well, how do we do this? You take the (4/7), and multiple by 2 to get 1.1428 You take the whole number representation, which is 1 in this case. This number then becomes the first binary point to the right of the decimal. So as of now, we have.1

3. Continue this process Well, before we continue, we must disregard the whole number in front. So, we have.1428, not 1.1428. Then.1428 x 2 = 0.2856. So, we take the 0 and that is our next binary point. So now, we have.10?????????

4. Even more So we continue to get 0.57142, so our number is now.100 Then we get 1.1428, so now our number is.1001 But wait! 1.1428 is the same number we started with! So this is a repeating decimal! So our number is.100100100100100100100100100100100100100 1001001001001001001001001 and so on.

5. Back to the question We were asked to find the point in the 19 th place. So.100100100100100100100100100100100100 1001001001001001001001001001 So our answer is: 1