Introduction to Mathematical Software Exercise 5

The lecture defined ordinal addition and multiplication by constructing new well-orders from

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1.. a) Type the Hello World program (Example 2 on page 18 of part 1 of the Lecture Slides) into the editor window and save the program as hello.c in the exercise1 folder that you

In this exercise, we implement Euclid’s algorithm for finding the greatest common divisor of two natural numbers that you have come across in your linear algebra class. This will

Modify the greatest common divisor program that you have implemented in Exercise 2.1 such that the actual computation of the gcd is done in a function.. The function should accept

In the last lecture, you saw the implementation of a class for representing larger integers, BiggerInt, with an implemen- tation of the BiggerInt *add class member function.. a)

In the naïve approach we iteratively find the largest power of 2 which is less than or equal to the number we want to convert, place a 1 at the corresponding position of the

The algorithm is very inefficient as the number of recursive calls to Fib(n) grows exponentially in n. It is much more efficient to compute the Fibonacci numbers iteratively, as