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Florida, United States



successively:
1864 = 2 . 932 + 0,
932 = 2 . 466 + 0,
466 = 2 . 233 + 0,
233 = 2. 116 + 1,
11 6 = 2. 58 + 0,
58 = 2. 29 + 0,
29 = 2. 1 4 + 1 ,
14 = 2. 7 + 0,
7 = 2. 3 + 1 ,
3 = 2. 1+1,
1=2·0+1.
To obtain the base 2 expansion of 1864, we simply take the remainders of these divisions.
This shows that (1 864)10 = (1 1101001000)2.