Correct Answer - C
Let binary number 0.1111111….=x
`impliesx=2^(-1)+2^(-2)+2^(-3)+....oo=(1)/(2)+(1)/(4)+(1)/(8)+(1)/(16)+....oo`
This is an infinite G.P. series with first term = `(1)/(2)` and common ration = `(1)/(2)`
`impliesx=(1//2)/(1-(1)/(2))=(1//2)/(1//2)=1`