Computation of cyclic redundancy checks may use whichever form is more convenient. Parallel update for a byte or a word at a time can also be done explicitly, without a table. This is normally used in high-speed hardware implementations. For each bit an equation is solved after 8 bits have been shifted in. The following tables list the equations for some commonly used polynomials, using following symbols: As the CRC-32 polynomial has a large number of terms, when computing the remainder a byte at a time each bit depends on several bits of the previous iteration. In byte-parallel hardware implementations this calls for either multiple-input
Byte addressing systems, such as the PDP-10, use word addressing but facilitate access to individual bytes using special instructions which can access memory using a "byte pointer", which contains both a word address and the index of a specific byte within the word. Byte addressing Byte addressing refers to hardware architectures which support accessing individual bytes of data rather than only larger units called words, which would be "word-addressable". Such computers are sometimes called "byte machines" (in contrast to "word machines"). The basic unit of digital storage is called a bit, storing a single 0 or 1. Many common architectures can address