+0  
 
0
129
1
avatar+627 

Find the one hundredth positive integer that can be written using no digits other than digits 0 and 1 in base 3. Express your answer as a base 10 integer.

supermanaccz  May 31, 2018
 #1
avatar+945 
+3

Hey superman!

 

The goal is to count in base 3 using only binary digits.

 

The \(100^{\text{th}}\) smallest positive binary integer is \(100 = 1100100_2,\) 

 

so the \(100^{\text{th}}\) smallest positive integer that can be written with only the binary digits is

 

 \(1100100_3 = \boxed{981}\).

 

I hope this helped,

 

Gavin.

GYanggg  Jun 1, 2018

38 Online Users

avatar

New Privacy Policy

We use cookies to personalise content and advertisements and to analyse access to our website. Furthermore, our partners for online advertising receive information about your use of our website.
For more information: our cookie policy and privacy policy.