Question

How many nanoseconds does it take for a computer to perform one calculation if it performs 6.7 x 107 calculations per second?

Answer 1

given that :

1 second = 6.7 x 10⁷ calculations

we know that

1 nano = 10⁻⁹

so 1 nano second = 1 x 10⁻⁹ second

1 nanosecond  = (1 x 10⁻⁹ second ) (6.7 x 10⁷ calculations/ 1 second)

1 nanosecond  =  (1 x 10⁻⁹  ) (6.7 x 10⁷ calculations) (1 second / 1 second)

1 nanosecond  =  (1 x 10⁻⁹  ) (6.7 x 10⁷ calculations)

1 nanosecond  =  (1 x 10⁻⁹  ) (6.7 x 10⁷) calculations

1 nanosecond  =  (1 x 6.7) (10⁻⁹ x 10⁷) calculations

1 nanosecond  = (6.7 x 10⁻⁹⁺⁷) calculations

1 nanosecond  = 6.7 x 10⁻² calculations