+50 This is the problem: https://web2.0calc.com/questions/base-number-arithmetic
This problem might be fun to try, Hereka's solution is wrong, see if you can see where the mistake is.
I have read through this problem and answer. I would like to state that 7 cannot be expressed in base 2 or 3, So the answer would be zero for those who wanted to know.
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-Zekken(Absolute sword)
+118667 Your statement'
"I would like to state that 7 cannot be expressed in base 2 or 3,"
What on Earth are you on about?
\(7_{10}=111_{2}=21_{3}\)
Any positive integer, in any positive interger base, can be expressed in any other positive integer base.
+33657 I'm with Zekken on this.
Normally if you write a number as abcp, for example, you mean that the number is already in base p, so that a, b and c are all less than p itself.
For the question to make sense, we are presumably supposed to interpret each number as a base ten number, then convert it to various bases, p, and work out which values of p are possible. So for 6p, for example, we could have 1102, or 203, or 115 etc. However, without this sort of explanation accompanying the question I consider it to be poorly phrased.
+118667 Hi Alan,
I was not referring to the question, I have not even read the question, was referring only to his assertion.
He did not say that 7 is not a base 2 number. If he had said that I would have agreed.
He said that 7 cannot be expressed as a base 2 number. Which is nonsense.
I do agree with you, many base questions that I have read on here are very poorly phrased.
I accept your assertion that this is one of them.
If a number is mentioned in a base question, the base of that number should always be clearly defined.
