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A=486 - 2171. How many digits would be there if A is expressed in binary base?

a)171

b)86

c)87

d)172

 

Kindly give the explanation along with the answer.

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first 486 can be expressed as 2172

now, A= 2172-2171 

=>2171(2-1) =2171

as 21 expressed as (10)2

 4 (22)  as (100)2

2^n as n+1.

so, answer is 172.  D

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