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  2. Redundancy (information theory) - Wikipedia

    en.wikipedia.org/wiki/Redundancy_(information...

    The quantity is called the relative redundancy and gives the maximum possible data compression ratio, when expressed as the percentage by which a file size can be decreased. (When expressed as a ratio of original file size to compressed file size, the quantity R : r {\displaystyle R:r} gives the maximum compression ratio that can be achieved.)

  3. Computation of cyclic redundancy checks - Wikipedia

    en.wikipedia.org/wiki/Computation_of_cyclic...

    That is, the 16-bit index is "sliced" into two 8-bit indexes. At first glance, this seems pointless; why do two lookups in separate tables, when the standard byte-at-a-time algorithm would do two lookups in the same table? The difference is instruction-level parallelism. In the standard algorithm, the index for each lookup depends on the value ...

  4. Cyclic redundancy check - Wikipedia

    en.wikipedia.org/wiki/Cyclic_redundancy_check

    A cyclic redundancy check (CRC) is an error-detecting code commonly used in digital networks and storage devices to detect accidental changes to digital data. [ 1 ] [ 2 ] Blocks of data entering these systems get a short check value attached, based on the remainder of a polynomial division of their contents.

  5. Mathematics of cyclic redundancy checks - Wikipedia

    en.wikipedia.org/wiki/Mathematics_of_cyclic...

    This does not make CRC checking any more difficult, you just have to know the expected pattern. The long division may begin with a non-zero remainder. The remainder is generally computed using an -bit shift register holding the current remainder, while message bits are added and reduction modulo () is performed. Normal division initializes the ...

  6. Redundancy (engineering) - Wikipedia

    en.wikipedia.org/wiki/Redundancy_(engineering)

    You can achieve higher availability through redundancy. Let's say you have three redundant components: A, B and C. You can use following formula to calculate availability of the overall system: Availability of redundant components = 1 - (1 - availability of component A) X (1 - availability of component B) X (1 - availability of component C) [18 ...

  7. Check digit - Wikipedia

    en.wikipedia.org/wiki/Check_digit

    The final digit of a Universal Product Code, International Article Number, Global Location Number or Global Trade Item Number is a check digit computed as follows: [3] [4]. Add the digits in the odd-numbered positions from the left (first, third, fifth, etc.—not including the check digit) together and multiply by three.

  8. Data redundancy - Wikipedia

    en.wikipedia.org/wiki/Data_redundancy

    While different in nature, data redundancy also occurs in database systems that have values repeated unnecessarily in one or more records or fields, ...

  9. Triple modular redundancy - Wikipedia

    en.wikipedia.org/wiki/Triple_modular_redundancy

    In computing, triple modular redundancy, sometimes called triple-mode redundancy, [1] (TMR) is a fault-tolerant form of N-modular redundancy, in which three systems perform a process and that result is processed by a majority-voting system to produce a single output. If any one of the three systems fails, the other two systems can correct and ...