4.3 Exercises

1. Temperature Conversion

Build the following applet that converts temperature in degrees Fahrenheit into degrees Celcius.

Write an application that creates a Fahrenheit - Celcius conversion table like

Fahrenheit      Celsius

0               -17.7778
2.5             -16.3889
5               -15
7.5             -13.6111
10              -12.2222
12.5            -10.8333
15              -9.44444
17.5            -8.05556
20              -6.66667
22.5            -5.27778
25              -3.88889
27.5            -2.5
30              -1.11111
32.5            0.277778
35              1.66667
37.5            3.05556
40              4.44444
42.5            5.83333
45              7.22222
47.5            8.61111
50              10

2. Secret language

The following applet consists of an input field in which you can enter text and of an echo of the text string in the inout field with each letter in the alphabet replaced by its successor (in terms of Unicode characters: a (A) becomes b (B), b (B) becomes c (C), ...., y (Y) becomes z (Z), and z (Z) becomes { ([)). For example, the text Ana in the input field is echoed as Bob.

Write the Java code for this applet.

3. Vowels, Consonants, and Other Characters

Make the following applet that counts the number of vowels, consonants, and other characters.

4. Gambler's Ruin

Adapt and extend the Java code of the Gambler's Ruin example in such a way that Sarah's amount during one game is displayed as follows:

--> java OneGame

Sarah's amount of money during the game:
__________
___________
____________
___________
____________
___________
____________
___________
____________
___________
____________
_____________
______________
_______________

Game Length is 13
Winner is Sarah

The source code that you can use is contained in the files

5. Combinatorics

Write an iterative version of computing Fibonacci numbers that is able to compute the 75th Fibonacci number under reasonable time and memory resources. Use it to make an applet that looks like
Write a recursive version of computing factorials. Use it to make an applet that looks like
Extend the previous applet in such a way that it computes numerical approximations of the exect values for integer values between 20 and 170. You applet should look like