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Compute  11_2 + 110_2 + 100111_2 + 101011_2 + 111_2 + 1011_2 + 1100101_2.  Give your answer as a base 2 integer.

 Jun 12, 2024
 #1
avatar+129733 
+1

112  = 3

1102 = 6

10001112 = 71

1010112  =  43     

1112  =   7

101112  =  23   

 11001012 = 101

 

3 + 6 + 71 + 43 + 7 + 23 + 101   = 254

 

Convert back to base 2

 

254 / 2  =  127  R 0

127  / 2  = 93 R 1

63 / 2  = 31 R 1

31 / 2 =   15 R 1

15 / 2  = 7 R 1

7 / 2 = 3 R 1

3 / 2 = 1 R 1

1 / 2 = 0 R 1

 

111111102

 

cool cool cool

 Jun 12, 2024

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