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for the problem: Convert 35 from base 10 to base 2.

 

i already did 

35/2=17r1

  17/2=8r1

   8/2=4r0

   4/2=2r0

   2/2=1r0

   1/2=0r1

 

what do i do know?

 Jun 26, 2019
 #1
avatar+8966 
+4
35 / 2 = 17 r 1
17 / 2 = 8 r 1
8 / 2 = 4 r 0
4 / 2 = 2 r 0
2 / 2 = 1 r 0
1 / 2 = 0 r 1
  ___ ____   __  

Then read the remainders from bottom to top to get  100011

 

So     3510   =   1000112

 Jun 26, 2019
 #2
avatar+25483 
+3

Convert 35 from base 10 to base 2

 

\(\begin{array}{|rclcl|} \hline 35 &=& 2\cdot {\color{blue}17} &+& \color{red} 1 \\ {\color{blue}17} &=& 2\cdot {\color{blue}8} &+& \color{red} 1 \\ {\color{blue}8} &=& 2\cdot {\color{blue}4} &+& \color{red} 0 \\ {\color{blue}4} &=& 2\cdot {\color{blue}2} &+& \color{red} 0 \\ {\color{blue}2} &=& 2\cdot {\color{blue}1} &+& \color{red} 0 \\ {\color{blue}1} &=& 2\cdot {\color{blue}0} &+& \color{red} 1 \\ \hline \end{array}\)

 

\(\mathbf{35_{10} = {\color{red}100011}_2}\)

 

laugh

 Jun 26, 2019

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