Calculating Bits Required for Huffman Coding (AQA GCSE Computer Science): Flashcards

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Calculating Bits Required for Huffman Coding
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Huffman coding principle for frequent characters

Get shorter binary codes

Formula: bits for one character type in Huffman

Frequency × code length

Formula: total bits in Huffman encoded message

∑(freq×code length)\sum (\text{freq} \times \text{code length})

Bits per character in ASCII encoding

7 bits

Type of code lengths in Huffman coding

Variable lengths based on frequency

Type of code lengths in fixed-length encoding

Same number of bits for each character

Why Huffman coding saves space

Frequent characters use fewer bits; rare characters use more but don't appear often

Bits for 'HOT HOT HOTTER' (Huffman example)

34 bits

Huffman vs ASCII space saving (% reduction in example)

69% reduction

How to decode binary with Huffman table

Split sequence using Huffman codes to match characters

Why longer codes for rare characters are optimal

They appear infrequently, so don't impact overall total much

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