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How do you divide number written base 3 by 2 without changing base?
Wiki User
∙ 12y ago
Just like in base 10 (but remember that carries between place value columns are in powers of 3 which look like '10' (but in base 3); '10' in base 3 is '3' in base 10; and each place value can only contain a digit in the range 0 to 2).
The 2 times table in base 3 also helps:
1 x 2 = 2
2 x 2 = 11
10 x 2 = 20
11 x 2 = 22
12 x 2 = 101
20 x 2 = 110
...
example 21201223 ÷ 23:
.... 1021211
.. -------------
2 | 2120122
.... 2
.... --
..... 012
....... 11
....... ---
......... 10
........... 2
.......... --
........... 11
........... 11
........... ---
............. 02
............... 2
.............. --
............... 02
................. 2
............... ---
................. 0
so 21201223 ÷ 23 = 10212113
Checking in base 10:
21201223 = 188010
23 = 210
10212113 = 94010
188010 ÷ 210 = 94010 (as required)
Wiki User
∙ 12y ago
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