+0  
 
+2
121
2
avatar+1148 

Convert the base-64 number \(100_{64}\)  to base 62.

tertre  Mar 20, 2017
Sort: 

2+0 Answers

 #1
avatar+10613 
0

144 in base 62

ElectricPavlov  Mar 20, 2017
 #2
avatar+18377 
+1

Convert the base-64 number

\(100_{64}\) 

to base 62.

 

\(\begin{array}{lcll} 100_{64} \text{ to base }10\\ \hline (1\cdot 64+0)\cdot 64 + 0 &=& 64^2 \\ &=& 4096_{10} \\ \hline \end{array}\)

 

\(100_{64} = 4096_{10}\)

 

\(\begin{array}{lcll} 4096_{10}\text{ to base } 62 \\ \hline 4096 &:& 62 &=& 66\cdot 62 &+& 4 \\ 66 &:& 62 &=& 1\cdot 62 &+& 4 \\ 1 &:& 62 &=& 0\cdot 62 &+& 1 \\ \hline \end{array} \)

 

\(100_{64} = 4096_{10} = 144_{62}\)

 

laugh

heureka  Mar 20, 2017

13 Online Users

We use cookies to personalise content and ads, to provide social media features and to analyse our traffic. We also share information about your use of our site with our social media, advertising and analytics partners.  See details