+0  
 
0
80
1
avatar+80 

Let $S$ be the set of all positive integers that have four digits in base $2$. What is the sum of all of the elements in $S$, when expressed in base $2$ ?

off-topic
 Jul 12, 2020
edited by toodlestraws  Jul 12, 2020
edited by toodlestraws  Jul 12, 2020
 #1
avatar+26735 
+2

There are  24 = 16  POSSIBLE  four-digit numbers in base 2  ....if you can have leading zeroes...I will assume you cannot

   then the 4 digit2 numbers are 8  9 10 11 12 13 14 15

      add all of these numbers = 92

          DO YOU know how to convert this number to base2 ?

 Jul 12, 2020

58 Online Users

avatar
avatar
avatar