## Practice with Functions

Complete these exercises to test your understanding of functions.

### Exercise 1

Write a program that performs arithmetic division. The program will use two integers, a and b (obtained by the user) and will perform the division a/b, store the result in another integer c and show the result of the division using cout. In a similar way, extend the program to add, subtract, multiply, do modulo and power using integers a and b. Modify your program so that when it starts, it asks the user which type of calculation it should do, then asks for the 2 integers, then runs the user selected calculation and outputs the result in a user friendly formatted manner.

Sample run:

Enter two numbers: 312
The sum is 15.

### Exercise 2

Basically the same as exercise 1, but this time, the function that adds the numbers should be void, and takes a third, pass by reference parameter; then puts the sum in that.

### Exercise 3

Write a recursive function that finds the #n integer of the Fibonacci sequence. Then build a minimal program to test it. For reference see Wikipedia:Fibonacci number.

For any possible natural number "n", the following applies fib(n+2)= fib(n+1)+ fib(n). Also, the following are predefined fib(0)=0 fib(1)=1

### Exercise 4

Basically the same as exercise 3, although this time you mustn't use recursion.

For extra exercise, give a big number (like 1000000) to both exercise 3 and 4 solutions and compare the execution times. Ponder on the results ;)

### Exercise 5

Create a calculator that takes a number, a basic math operator (+,-,*,/,^), and a second number all from user input, and have it print the result of the mathematical operation. The mathematical operations should be wrapped inside of functions.