So the problem is
What's the least three digit integer, in base 14.
What I tried so far is that I visualized it like base 10, but I don't think the answer would be 100. What I need help on is I don't even know what bases greater than 10 are? Could you please tell me the answer to the problem and explain to me what the bases above 10 are?
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In base 10 we use the digits 0,1,2,3,4,5,6,7,8,9 there are 10 of them
In base 14 we need 14 digits. Thez can be 0,1,2,3,4,5,6,7,8,9,A;B;C;D
The biggest 3 digit one is DDD (base14)
the biggest one in base 10 would be 999 .
Ths is \(9*10^2+9*10+9\)
the biggest one base 14 would be DDD
Converting this to base 10 gives \(13*14^2+ 13*14+13\)
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Sorry I have given you the biggest 3 digit base 14 number, converted to base 10
The smalles one would be 100 (base 14)
where the place value of the 1 is 14^2 (That is in base 10)
If I have just confused you let me know and I will explain it better. Think about it first though.
Oh Thanks Melody!
I think I got it now, they use letters to replacce numbers, for example 43A12 converted to base 10 is, 11 x 1 + 3x12 + 144x4.
But is there base 1000?