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
One-to-one computing that 1:1 availability of devices improves their usefulness. Having to share devices reduces their educational efficacy because of the reduced intensity & length of the experience and the additional time spent on file-management, configuration management, device management and distribution. Before cloud-computing the main benefits referred to access to devices. As cloud-computing progressed collaboration, cost reduction, going paperless, 21st century skills became more of a focus. Red research included 1:1 and collaboration in its key research findings. One-to-one computing offers the benefits of equal access, standardization, easy upgrades, simple networking and the ability to monitor student progress and online behavior. For