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.

Chrona virus( Covid 19 is getting scary)

Better prepare!...

or this will happen...

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-Zekken(Absolute sword)

Zekken Mar 9, 2020

edited by
Guest
Mar 9, 2020

#2**0 **

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.

Melody Mar 9, 2020

#3**+2 **

I'm with Zekken on this.

Normally if you write a number as abc_{p}, 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 6_{p}, for example, we could have 110_{2}, or 20_{3}, or 11_{5} etc. However, without this sort of explanation accompanying the question I consider it to be poorly phrased.

Alan Mar 9, 2020

#4**-1 **

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.

Melody
Mar 9, 2020