<prompt> Derive the Moores law equation from the given data.The number of transistors on an integrated circuit doubling every two years  <response>: Moores law is a prediction made by Gordon Moore in 1965 that the number of transistors on an integrated circuit would double every two years.Given the information provided in the input, we can derive the equation for Moores Law as follows:Let Nt Number of transistors on an integrated circuit at time t.Let t be measured in years.Since the number of transistors is doubling every two years, we can model this growth as an exponential function. Let the initial number of transistors on an integrated circuit be N0, then after 1 doubling period of 2 years, the number of transistors will be 2N0. After 2 doubling periods of 2 years, the number of transistors will be 22N0 and so on. We can represent this pattern generally as:Nt N0 2 t 2where t is in years and t2 represents the number of doubling periods that have occurred.This is the derived equation for Moores Law. 