Exercise 1.53 (This problem is modified from [4]) In the 1991 Gulf War, the Patriot missle defense system failed due to roundoff error. The troubles stemmed from a computer that performed the tracking calculations with an internal clock whose integer values in tenths of a second were converted to seconds by multiplying by a 24-bit binary approximation to 10 0.110 0.00011001100110011001100 a. Convert the binary number above to a fraction by hand (common denominators would be helpful). b. The approximation of to given above is clearly not equal to 1oWhat is the absolute error in this value? c. What is the time error, in seconds, after 100 hours of operation? d. During the 1991 war, a Scud missile traveled at approximately Mach 5 (3750 mph). Find the distance that the Scud missle would travel during the time error computed in (c)