Introduction To Coding And Information Theory Steven Roman Online

When your data corrupts, you are witnessing a violation of the Hamming distance. When your compression algorithm bloats instead of shrinks, you are witnessing low entropy.

[ h(x) = -\log_2(p) ]

In Shannon’s world,

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? Introduction To Coding And Information Theory Steven Roman

Mathematically, the information content ( h(x) ) of an event ( x ) with probability ( p ) is: When your data corrupts, you are witnessing a

By Steven Roman (Inspired by his lifelong work in mathematical literacy) When your data corrupts