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
How Are Things in Glocca Morra? made up by composer Lane, who had devised a dummy lyric beginning with the line, "There's a glen in Glocca Morra". Harburg liked the name but insisted on changing the line to "How are things in Glocca Morra?" because this is personal and immediately evocative of nostalgia and homesickness. James Stephens' work "The Crock of Gold" (first published in 1912) refers to "the leprechauns of Gort na Gloca Mora" ("the field of the big rock" in Gaelic). It is unknown whether Lane or Harburg were aware of the novel or if this is a coincidence. Many versions of this song