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The Hamming weight is named after the American mathematician Richard Hamming, although he did not originate the notion. [5] The Hamming weight of binary numbers was already used in 1899 by James W. L. Glaisher to give a formula for the number of odd binomial coefficients in a single row of Pascal's triangle. [6]
A special case of constant weight codes are the one-of-N codes, that encode bits in a code-word of bits. The one-of-two code uses the code words 01 and 10 to encode the bits '0' and '1'. A one-of-four code can use the words 0001, 0010, 0100, 1000 in order to encode two bits 00, 01, 10, and 11.
All bit positions that are powers of two (have a single 1 bit in the binary form of their position) are parity bits: 1, 2, 4, 8, etc. (1, 10, 100, 1000) All other bit positions, with two or more 1 bits in the binary form of their position, are data bits. Each data bit is included in a unique set of 2 or more parity bits, as determined by the ...
Note that bit/s is a more widespread unit of measurement for the information rate, implying that it is synonymous with net bit rate or useful bit rate exclusive of error-correction codes. See also [ edit ]
For diabetics, keeping close tabs on blood-sugar levels is essential, and that means keeping close tabs on diet. ... both Types 1 and 2. Snacking on high-protein crackers made mostly or ...
It’s generally considered to be about 0.8 grams of protein per kilogram of body weight, or 0.36 grams of protein per pound, but newer research suggests you may need closer to around 1 gram per ...
[1] [17] For type 2 diabetics, the focus of a vegetarian or vegan diet should be maintaining a level of caloric intake that results in fat loss, adequate protein consumption, adequate consumption of compounds that are most bio-available in animal products (i.e. vitamin B-12, iron, creatine), and whole food carbohydrate sources that are lower in ...
Since the Walsh–Hadamard code is a linear code, the distance is equal to the minimum Hamming weight among all of its non-zero codewords. All non-zero codewords of the Walsh–Hadamard code have a Hamming weight of exactly 2 k − 1 {\displaystyle 2^{k-1}} by the following argument.