Exercise Sets: How to Design Class Hierarchies

Exercise Set 1A: Exploring Numbers and Arithmetic

Exercise 1A.1 Use the function computeInt to determine the result of the following expressions:
27 % 4,
-27 % 4,
27 % -4,
-27 % -4,
27.5 % 4.

Exercise 1A.2 Use the function computeInt to determine the result of the following expressions:
150 / 3 * 10
150 / (3 * 10)
10 / 3 * 10.

Exercise 1A.3 Use the function computeInt to determine the result of the following expressions:
150 - 20 - 30 - 10
150 - (20 - 30) - 10)
(150 - 20) - (30 - 10).

Exercise 1A.4 Use the function computeInt to determine the result of the following expressions. Experiment with the second expression to find out what is the largest integer Java can represent.
4 * 4 * 4 * 4 * 4 * 4 * 4 * 4 * 4 * 4 * 4 * 4 * 4 * 4 * 4
16 * 16 * 16 * 16 * 16 * 16 * 16 * 16 * 16 * 16.

Exercise 1A.5 Use the function computeInt to determine the result of the following expressions. Experiment with the second expression to find out what is the largest magnitude of a negative integer that Java can represent.
-4 * 4 * 4 * 4 * 4 * 4 * 4 * 4 * 4 * 4 * 4 * 4 * 4 * 4 * 4
-16 * 16 * 16 * 16 * 16 * 16 * 16 * 16 * 16 * 16.

Exercise 1A.6 Use the function computeDouble to determine the result of the following expressions:
27.6 % 4
-27.6 % 4
27.6 % -4
-27.6 % -4.

Exercise 1A.7 Use the function computeDouble to determine the result of the following expressions:
10 / 3 * 3.0)
10 / 3.0 * 3
10.0 / 3 * 3
10.0/3/3/3/3/3 *3*3*3*3*3
10.0/3/3/3/3/3/3/3/3/3/3 *3*3*3*3*3*3*3*3*3*3
10.0 *3*3*3*3*3*3*3*3*3*3 /3/3/3/3/3/3/3/3/3/3
1E20 /3/3/3/3/3/3/3/3/3/3 *3*3*3*3*3*3*3*3*3*3
1E20 *3*3*3*3*3*3*3*3*3*3 /3/3/3/3/3/3/3/3/3/3.

Exercise 1A.8 Use the function computeDouble to determine the result of the following expressions:
1.0 / 0
-1.0 / 0
0.0 / 0
1 / 0.

Exercise 1A.9 Find out whether the function areaOfDisk allows the input to be an integer.

Exercise 1A.10 Find out what happens if you use int return type in the function areaOfDisk instead of double.