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0.10101 base two to base 10

I do not get how to solve these types of problems. Please provide an explanation along with the answer.

 Mar 6, 2019
 #1
avatar+102372 
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Note that   

 

.134  in base 10    =    1/10  + 3/10^2  + 4/10^3

 

So...this would indicate that    .10101 in base 2 must be

 

1/2 + 0 /2^2 + 1/2*3 + 0 /2^4 + 1/2^5  =

 

1/2  + 0 +  1/8  + 0 +  1/32  =  [ get a common denominator of 32 ]

 

16/32 + 4/32 + 1/32 =

 

21 / 32    =  .6562510

 

 

cool cool cool

 Mar 6, 2019

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