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Dan Heflin

If is expressed in binary form, what is the digit in the 19 places to the right of the binary point?. Dan Heflin. Well, how do we do this?. You take the (4/7), and multiple by 2 to get 1.1428

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Dan Heflin

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  1. If is expressed in binary form, what is the digit in the 19 places to the right of the binary point? 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 .1001001001001001001001001001001001001001001001001001001001001001 and so on.

  5. Back to the question • We were asked to find the point in the 19th place. So • .1001001001001001001001001001001001001001001001001001001001001001 • So our answer is: 1

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