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Counting problem

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HI guys.

I have a problem with my assignment like:

Hexadecimal numbers are made using the sixteen digits 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, A, B, C, D, E, F. For a four digit number, the most significant digit is restricted to the digits 7 to C and the least significant digit is restricted to the digits 9 to F.How many numbers are there?

Because i am an overseas student, so it is very difficult for me to understand "the most significant digit is restricted to the digits 7 to C and the least significant digit is restricted to the digits 9 to F", can you explain to me,please? Or can you give some examples with this pattern, please?

Thank you very much.

First thing - the hexadecimal system lets you count using base 16 instead of base 10. Least and most significant digits are the same for any number system. Hope this helps.

  • Author

Thanks for your help but my problem is "the most significant digit is restricted to the digits 7 to C and the least significant digit is restricted to the digits 9 to F", I don't know what it mean. Can you give examples of "four digit number, the most significant digit is restricted to the digits 7 to C and the least significant digit is restricted to the digits 9 to F"

Thank you very much.

First thing - the hexadecimal system lets you count using base 16 instead of base 10. Least and most significant digits are the same for any number system. Hope this helps.

Consider a four digit decimal number abcd. Think of " most significant " meaning "most important" or having "most effect". Which digit a,b,c, or d do YOU think would be most significant and which would be least significant ? Give YOUR answer and I am sure you will get a response.

  • Author

Thanks for your help.

It means if I consider a four digit hexa number abcd in that case, digit a must be restricted from 7 to C and digits b,c,d must be restricted from 9 to F. Is that right?

Thsnk you very much.

Consider a four digit decimal number abcd. Think of " most significant " meaning "most important" or having "most effect". Which digit a,b,c, or d do YOU think would be most significant and which would be least significant ? Give YOUR answer and I am sure you will get a response.

Thanks for your help.

It means if I consider a four digit hexa number abcd in that case, digit a must be restricted from 7 to C and digits b,c,d must be restricted from 9 to F. Is that right?

Thsnk you very much.

 

Not exactly but you are close. Read your question again.

  • Author

Ah, yes. Thanks for your help.

It should means if I consider a four digit hexa number abcd in that case, digit a must be restricted from 7 to C and digits b,c can be from 0 to F but digit d must be restricted from 9 to F. Is that right?

Thsnk you very much.

 

Not exactly but you are close. Read your question again.

Yes - that's how I read the question - there is a bit more to do to finish the question.

  • Author

Thank you very much.

Yes - that's how I read the question - there is a bit more to do to finish the question.

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