The arithmetic decoding process is the reverse of the encoding procedure. Decode the message 0.23355 given the coding model
| Symbol | Probability |
| a | 0.2 |
| e | 0.3 |
| i | 0.1 |
| o | 0.2 |
| u | 0.1 |
| ! | 0.1 |
Arithmetic decoding involves reconstructing the original sequence from the given encoded value (0.23355) using the provided symbol probabilities. Let's break it down step by step. ### Step 1: Compute the Cumulative Probability Intervals The probability table provides the ranges for each symbol: | Symbol | Probability | Cumulative Range | |---------|------------|------------------| | a | 0.2 | [0.0, 0.2) | | e | 0.3 | [0.2, 0.5) | | i | 0.1 | [0.5, 0.6) | | o | 0.2 | [0.6, 0.8) | | u | 0.1 | _______ ___ _________ ____ _________ _______ ______ _____ ________ ______ _____ ______.
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and
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i)
ii)
iii)
iv)
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