Here are a few videos that were created by the students of the 2017 CSE 20133/20232 programming class, to demonstrate their end-of-semester projects. This class consisted of EE and other non-CS engineering students, and taught programming using C and C++.

Sample base conversion worksheet
created in LaTeX.

LaTeX is amazing. And frustrating. And powerful. And frustrating.

This coming Fall semester, I will be teaching an introductory programming class for engineering students. To help them understand bits, bytes, integers, etc., is to have them practice base conversions between decimal, binary, and hexadecimal. I wanted to set this up in LaTeX, but the idea of typesetting all of those tables instantly gave me a headache. LaTeX should be able to help with the monotony, but convincing it of that will be an uphill climb.

Objectives

I want a single command that I can call, giving it two numbers (in decimal): (1.) the number on which to be shown in decimal, binary, and hexadecimal, and (2.) which of the 3 to not hide. The output should be a table in which every cell is a digit from the number of that base. The cells for binary and hexadecimal should line up so as to reinforce the relationship between them. The decimal cell, however, will not be split up, since it does not line up nicely with either binary or hexadecimal. Here is an example of what I want:

Forms—A better way

The better form processing that I propose is inspired by Drupal, but furthers the idea to improve on it. In order to properly understand the approach, though, you should understand how Cryptographic Signing (specifically, Authenticated Encryption) and the Galois Counter Mode (GCM) operate.

A quick overview of the GCM cipher goes like this: Given a secret key, a plaintext, and an initialization vector (IV), a GCM cipher should return a ciphertext and an authentication code. The ciphertext, IV, and authentication code is then given to the user. When the user returns, the GCM decrypt function takes in the secret key, the ciphertext, the IV, and the authentication code, and returns the plaintext. This may sound a bit complicated, so let me break it down a bit more.

The secret key is something that is stored serverside, and is preferably unique to each user. The IV is a short string that is unique to that encryption. The uniqueness is a requirement to a counter-type of encryption like GCM. In short, the IV must be different every time that the encryption is called, otherwise the ciphertext is vulnerable. Lastly, the authentication code is a string which validates that the contents of the encrypted text has not been tampered with. It does not matter if the end user is given the encrypted text, IV, and authentication code, because if the user changes any part of any one of these, then they will not validate when combined with the secret key.