1.

What is `(1000000001)_(2)-(0.0101)_(2)` equal to ?A. `(512.6775)_(10)`B. `(512.6875)_(10)`C. `(512.6975)_(10)`D. `(512.0909)_(10)`

Answer» Correct Answer - B
`(1000000001)_(2)`
`=1xx2^(0)+0xx2^(1)+0xx2^(2)+......+1xx2^(9)`
`=1+0+0+......+512`
`=(513)_(10)`
`(0.0101)_(2)=0xx2^(-1)+1xx2^(-2)+0xx2^(-3)+1xx2^(-4)`
`=(1)/(4)+(1)/(16)=(5)/(16)=(0.3125)_(10)`
`(1000000001)_(2)-(0.0101)_(2)=513-0.312`
`=(512.6875)_(10)`


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