+0  
 
0
185
1
avatar

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?

 Aug 16, 2018

Best Answer 

 #1
avatar+972 
+2

"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 1000- 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. 

 Aug 16, 2018
 #1
avatar+972 
+2
Best Answer

"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 1000- 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. 

GYanggg Aug 16, 2018

6 Online Users

avatar