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how do u convert binary to hex by splitting it into nibbles? stuck in my computing lesson

Guest Sep 26, 2016
 #1
avatar+93866 
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how do u convert binary to hex by splitting it into nibbles? stuck in my computing lesson

 

 

take this binary number

11001110101110111

 

I am going to split it into groups of 4 from the right

 

1   1001   1101    0111    0111

 

  1 1001 1101 0111 0111
  1 2^3 + 1 2^3+2^2+1 2^2+2+1 2^2+2+1
digit base 16  1 9 D    (13base10) 7 7
base 10 converion 1*16^4 9^16^3 13*16^2 7*16 7
base 10 65536 36864 3328 112 7

 

 

Add this altogether and you get

 

65536+36864+3328+112+7 = 105847

so

 

\(11001110101110111_2=105847_{10}\)

Melody  Sep 26, 2016
 #2
avatar+93866 
0

Sorry I just realized that you wnated it in Hexidecimal.  (It is answered on the middle row of the table)

 

\(11001110101110111_2= 19D77_{16}\)

Melody  Sep 26, 2016

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