Question

A computer program in Shannon's computer carries a single mathematical operation in 1.5*10^-6 seconds. How much time would the program take to complete 2.5*10^3 mathematical operations?

Answer 1

Answer: $3.75\times10^{-3}$ seconds

Step-by-step explanation:

Given: Time taken by computer program in Shannon's computer carries a single mathematical operation=$1.5\times10^{-6}$ seconds

Time taken by computer program to carry a $2.5\times10^3$ mathematical operation is given by :-

$2.5\times10^3\times1.5\times10^{-6}\\\\=(2.5\times1.5)\times(10^3\times10^{-6})\\\\=3.75\times10^{3+(-6)}=3.75\times10^{3-6}\\\\=3.75\times10^{-3}$

Hence, Time taken by computer program to carry a $2.5\times10^3$ mathematical operation is $3.75\times10^{-3}$ seconds

Answer 2

2.5(10^3) / 1.5(10^-6) = 2500/.0000015 = 1.67 seconds