How Not To Be Wrong: The Hidden Maths of Everyday

by Jordan Ellenberg

The Hamming code* is a rule that transforms each of these three-digit blocks into a seven-digit string. Here’s the codebook: 000 -> 0000000 001 -> 0010111 010 -> 0101011 011 -> 0111100 101 -> 1011010 110 -> 1100110 100 -> 1001101 111 -> 1110001