Introduction To Coding And Information Theory Steven Roman Link

By Steven Roman (Inspired by his lifelong work in mathematical literacy)

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. Introduction To Coding And Information Theory Steven Roman

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

If you receive a 7-bit string, you run the parity checks. The result (called the syndrome) is a binary number from 001 to 111. That number tells you exactly which bit to flip to fix the message. By Steven Roman (Inspired by his lifelong work