(Fibonacci Series) The Fibonacci series
0, 1, 1, 2, 3, 5, 8, 13, 21, …
begins with the terms 0 and 1 and has the property that each succeeding term is the sum of the two preceding terms.
a) Write a method fibonacci(n) that calculates the nth Fibonacci number. Incorporate this method into an application that enables the user to enter the value of n.
b) Determine the largest Fibonacci number that can be displayed on your system.
c) Modify the application you wrote in part (a) to use double instead of int to calculate and return Fibonacci numbers, and use this modified application to repeat part (b).
In the next several problems, we take a temporary diversion from the world of high-level language programming to “p eel open” a computer and look at its internal structure. We introduce machine-language programming and write several machine-language programs. To make this an especially valuable experience, we then build a computer (through the technique of software-based simulation) on which you can execute your machine-language programs.
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