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Incoming links: Shannon-Fano coding
Past exam of the mathematics course of the University of Cambridge 2005 ii Paper 1 4J Solution Created 2026-09-24 Updated 2026-09-24
Past exam of the mathematics course of the University of Cambridge 2008 ii Paper 2 4G Solution Created 2026-09-24 Updated 2026-09-24
Past exam of the mathematics course of the University of Cambridge 2020 ii Paper 1 3I a Solution Created 2026-09-24 Updated 2026-09-29
In Shannon-Fano coding, a symbol of probability is assigned lengthand codewords of those lengths are chosen in lexicographic probability intervals; the Kraft inequality guarantees that a binary prefix code exists. Huffman coding repeatedly merges the two least probable current symbols, builds a binary tree from the resulting merges, and labels its two branches by zero and one. Reading from the root to each leaf gives an optimal prefix code.