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# Why the digit pattern from doubling: 1-2-4-8-7-5

bleh
User ID: 1956900
United States
07/21/2013 09:30 PM
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Why the digit pattern from doubling: 1-2-4-8-7-5
Do we know why this occurs?

1
1*2=2
2*2=4
4*2=8
8*2=16, 1+6=7
16*2=32, 3+2=5
32*2=64, 6+4=10
64*2=128, 1+2+8=11, 1+1=2
128*2=256, 2+5+6=13, 1+3=4
256*2=512, 5+1+2=8
512*2=1024, 1+2+4=7
1024*2=2048, 2+4+8=14, 1+4=5

As well as in reverse:
Half of one is 0.5 (0+5) equaling 5. Half of 5 is 2.5 (2+5) equaling 7, and so on.

I'm too lazy to try to figure out why the digits carrying over always results in 1-2-4-8-7-5. I doubt most people would find it very interesting. Because it's not, unless officialdom understands less than 100 percent of it.
Anonymous Coward
User ID: 43478466
07/21/2013 09:32 PM
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Re: Why the digit pattern from doubling: 1-2-4-8-7-5
It simply is, what it is. To put further thought into it is pointless and without end.

Why not question why we count 1 to 10.
Anonymous Coward
User ID: 14561559
United States
07/21/2013 09:48 PM
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Re: Why the digit pattern from doubling: 1-2-4-8-7-5
Wow, that's really cool!
Anonymous Coward
User ID: 43793399
Brazil
07/21/2013 09:51 PM
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Re: Why the digit pattern from doubling: 1-2-4-8-7-5
2048 * 2 = 4096

4 + 0 + 9 + 6 = 19

1 + 9 = 10

Anonymous Coward
User ID: 14561559
United States
07/21/2013 09:56 PM
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Re: Why the digit pattern from doubling: 1-2-4-8-7-5
2048 * 2 = 4096

4 + 0 + 9 + 6 = 19

1 + 9 = 10

Quoting: Anonymous Coward 43793399

You forgot that 1+0=1, so the answer is 1.
Anonymous Coward
User ID: 14561559
United States
07/21/2013 10:26 PM
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Re: Why the digit pattern from doubling: 1-2-4-8-7-5
If you do a Fibonacci sequence on the number 124875 (repeating), it becomes 3, 6, 3, 6, 3, 6.... which just happens to be the two remaining missing numbers!
Anonymous Coward
User ID: 14561559
United States
07/21/2013 10:29 PM
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Re: Why the digit pattern from doubling: 1-2-4-8-7-5
Also, if you take 124875 (repeating) and add the sum together from 4 digits ahead (1+8, 2+7, 4+5, 8+1, 7+2, 5+4), the sum is always 9!
Anonymous Coward
User ID: 37343436
United States
07/21/2013 10:54 PM
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