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One of the most commonly encountered CRC polynomials is known as CRC-32, used by (among others) Ethernet, FDDI, ZIP and other archive formats, and PNG image format. Its polynomial can be written msbit-first as 0x04C11DB7, or lsbit-first as 0xEDB88320. This is a practical example for the CRC-32 variant of CRC. [5]
To compute an n-bit binary CRC, line the bits representing the input in a row, and position the (n + 1)-bit pattern representing the CRC's divisor (called a "polynomial") underneath the left end of the row. In this example, we shall encode 14 bits of message with a 3-bit CRC, with a polynomial x 3 + x + 1.
In the above equations, + + represents the original message bits 111, + is the generator polynomial, and the remainder (equivalently, ) is the CRC. The degree of the generator polynomial is 1, so we first multiplied the message by x 1 {\displaystyle x^{1}} to get x 3 + x 2 + x {\displaystyle x^{3}+x^{2}+x} .
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The equivalent-circuit model is used to simulate the voltage at the cell terminals when an electric current is applied to discharge or recharge it. The most common circuital representation consists of three elements in series: a variable voltage source, representing the open-circuit voltage (OCV) of the cell, a resistor representing ohmic internal resistance of the cell and a set of resistor ...
cksum is a command in Unix and Unix-like operating systems that generates a checksum value for a file or stream of data. The cksum command reads each file given in its arguments, or standard input if no arguments are provided, and outputs the file's 32-bit cyclic redundancy check (CRC) checksum and byte count. [1]
Given a prime number q and prime power q m with positive integers m and d such that d ≤ q m − 1, a primitive narrow-sense BCH code over the finite field (or Galois field) GF(q) with code length n = q m − 1 and distance at least d is constructed by the following method.
For example, consider a battery with a capacity of 200 Ah at the C 20 rate (C 20 means the 20-hour rate – i.e. the rate that will fully discharge the battery in 20 hours – which in this case is 10 A). If this battery is discharged at 10 A, it will last 20 hours, giving the rated capacity of 200 Ah.