A certain integer has 4 digits when written in base 8. The same integer has d digits when written in base 2. What is the sum of all possible values of d?
+981 "A certain integer has 4 digits when written in base 8. The same integer has \(d\) digits when written in base 2. What is the sum of all possible values of \(d\)?"
Four-digits base 8 numbers range from 10008 - 77778.
The range represented into base 2 is 10000000002 - 1111111111112.
Therefore, the minimum is 10 digits, and the maximum is 12.
I hope this helped,
gavin.
+981 "A certain integer has 4 digits when written in base 8. The same integer has \(d\) digits when written in base 2. What is the sum of all possible values of \(d\)?"
Four-digits base 8 numbers range from 10008 - 77778.
The range represented into base 2 is 10000000002 - 1111111111112.
Therefore, the minimum is 10 digits, and the maximum is 12.
I hope this helped,
gavin.
