If I tell you something you already know (e.g., "The sun will rise tomorrow"), I have transmitted very little information. If I tell you something shocking (e.g., "The sun did not rise today"), I have transmitted a massive amount of information.
When most people hear the word "code," they think of spies, secret languages, or JavaScript. When they hear "information," they think of news or data. But in the mathematical universe, these two concepts are married in a beautiful, rigorous dance that underpins every text message, every streaming video, and every photograph from Mars. Introduction To Coding And Information Theory Steven Roman
[ H = -\sum_{i=1}^{n} p_i \log_2(p_i) ]
By Steven Roman (Inspired by his lifelong work in mathematical literacy) If I tell you something you already know (e
Data is fragile. A scratch on a CD, a crackle on a radio wave, or cosmic radiation hitting a memory chip corrupts bits. A '0' flips to a '1'. How do you know? How do you fix it? When they hear "information," they think of news or data
In Shannon’s world,