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11(base 137)=X(base 10)
what is x?

2007-08-07 19:47:30 · 3 answers · asked by Anonymous in Science & Mathematics Mathematics

this are bases like: binari=base 2

2007-08-07 19:47:38 · update #1

3 answers

simple.
11(137) = 1*137^2(10) + 1*137(10) = 18769(10) + 137(10) = 18906(10).
So, X = 18906

2007-08-07 19:50:02 · answer #1 · answered by wangsacl 4 · 0 1

a number in any base can be written this way:
SUM of all digits using (digit in position n x base^(n - 1))
take the first digit x base^(1-1) in your case 1 x 137^(1-1)=1
take second digit x base^(2-1) in your case 1 x 137^(2-1)=137
the sum is 1+137=138 since 138 is in base 10 then it is your answer.
To make this more interesting, convert the 138 to base 37
you start by 138/37= 3.729 so take the 3 to use in your answer. 3x37=111 and 138-111=27
so it is 3R. since your base is greater than 10 then you can use the alphabet as a single character representing 10 to 37. the letter R becomes 27.

2007-08-07 20:33:01 · answer #2 · answered by 037 G 6 · 0 1

I just did.

Oh, you wanted it posted.

2007-08-07 19:52:24 · answer #3 · answered by Anonymous · 1 2

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