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Binary division (modulo 2) GF (2) - Galois field of two elements - is used in many areas including with Checksums and Ciphers. It basically involves some bit shifts and an EX-OR function, which makes it fast in computing the multiplication.
- Modulo 2
Binary division (modulo 2) [Communications Home] GF(2) -...
- Modulo 2
8 Μαΐ 2024 · Use modulo-2 binary division to divide binary data by the key and store remainder of division. Append the remainder at the end of the data to form the encoded data and send the same Receiver Side (Check if there are errors introduced in transmission)
19 Φεβ 2014 · In each subtraction operation that makes up the "division," the subtraction is over the finite field of 0 and 1 for that one binary digit. For integer values over this finite-field size (0 and 1 are the only possibilities) addition, subtraction, and XOR are all equivalent functions.
Modulo 2 division can be performed in a manner similar to arithmetic long division. Subtract the denominator (the bottom number) from the leading parts of the enumerator (the top number). Proceed along the enumerator until its end is reached. Remember that we are using modulo 2 subtraction.
15 Οκτ 2019 · Here is a code example for CRC, using Modulo-2 binary division): /* * The width of the CRC calculation and result. * Modify the typedef for a 16 or 32-bit CRC standard.
These bits are the Cyclic Redundancy Check (CRC) bits. The well-known concept of integer division forms the basis for the use of CRCs. When a dividend is divided by a divisor, a quotient and a remainder (which may be 0) result.
We must then calculate the required remainder from a modulo-2 divide and add this to the data, in order that the remainder will be zero when we perform the divide. To take a simple example, we have 32, and make it divisible by 9, we add a ‘0’ to make ‘320’, and now divide by 9, to give 35 remainder 4.
