Likewise, because the register has a finite number of possible states, it must eventually enter a repeating cycle. The initial value of the LFSR is called the seed, and because the operation of the register is deterministic, the sequence of values produced by the register is completely determined by its current (or previous) state. The only linear functions of single bits are xor and inverse-xor thus it is a shift register whose input bit is driven by the exclusive-or (xor) of some bits of the overall shift register value. The maximal sequence consists of every possible state except the "0000" state.]Ī linear feedback shift register (LFSR) is a shift register whose input bit is a linear function of its previous state. Xor gate provides feedback to the register that shifts bits from left to right.
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