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An $8$ bit successive approximation analog to digital converter has full scale reading of $2.55 \mathrm{~V}$ and its conversion time for an analog input of $1 \mathrm{~V}$ is $20 \; \mu \mathrm{s}$. The conversion time for a $2 \mathrm{~V}$ input will be

  1. $10 \; \mu \mathrm{s}$
  2. $20 \; \mu \mathrm{s}$
  3. $40 \; \mu \mathrm{s}$
  4. $50 \; \mu \mathrm{S}$
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