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23 Απρ 2024 · Shannon entropy, also known as information entropy or the Shannon entropy index, is a measure of the degree of randomness in a set of data. It is used to calculate the uncertainty that comes with a certain character appearing next in a string of text.
This online calculator computes Shannon entropy for a given event probability table and for a given message.
Shannon Entropy Calculator. Named after Claude Shannon, the father of information theory, this calculator applies the principles of Shannon’s entropy formula to quantify the average amount of information contained in each event or symbol within a dataset.
Shannon entropy allows to estimate the average minimum number of bits needed to encode a string of symbols based on the alphabet size and the frequency of the symbols. Below you will find simple calculator which will help you to understand the concept.
The entropy of Shannon $ H $ is calculated according to the formula $$ H = -\sum_{i=1}^k p_i \log_2 (p_i) $$ Example: DCODE has 5 characters (4 distinct), the letter D appears 2 times (frequency: 2/5), and the 3 letters C , O and E each appear 1 time (frequency: 1/5), the calculation is: $ H = -\left( \frac{2}{5} \log_2(\frac{2}{5}) + 3 \times ...
Calculate Shannon Entropy with our easy-to-use Shannon Entropy Calculator. Perfect for data analysis, information theory, and statistical applications. Get accurate entropy values quickly and efficiently.
Shannon entropy tells you what is the minimal number of bits per symbol needed to encode the information in binary form (if log base is 2). Given above calculated Shannon entropy rounded up, each symbol has to be encoded by 4 bits and your need to use 44 bits to encode your string optimally.