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Linear Feedback Shift Register Sequence — result sheet
Step a binary Fibonacci-style LFSR with an explicit seed, tap list, and number of transitions.
Inputs used
Results
Visual chart
Breakdown
Calculation steps
Returned data table
Formula and methodology
Formula: At each step, feedback = XOR of the tapped bits; shift right one place and insert feedback at the left.
An LFSR is deterministic: the seed and tap positions fully determine each next state. This tool states its orientation explicitly—bits shift right, the new left bit is the XOR of taps counted from the right—so the sequence is reproducible rather than an unspecified pseudorandom result.
This result follows the calculator's declared inputs, precision, validation boundaries, and model limits.
Input contract
- Initial seed — Use 2 to 32 bits and include at least one 1.
- Tap positions from the right — Comma-separated one-based positions; the rightmost bit is position 1.
- Transitions — minimum 0; maximum 256
Worked example
| Input | Value |
|---|---|
| Initial seed | 1001 |
| Tap positions from the right | 4, 3 |
| Transitions | 8 |
States: 1001 → 1100 → 0110 → 1011 → 0101 → 1010 → 1101 → 1110 → 0111
Assumptions and limits
- The register uses binary XOR over GF(2) and the Fibonacci orientation defined in the formula.
- Tap positions are counted from the rightmost current bit, starting at one.
- A zero seed is rejected because it remains zero for every step; this is not a cryptographic random generator.
Calculator note
Source and methodology
Use the official WorldCalculate methodology policy for the source, formula, precision, and boundary standards behind this calculator.
Planning estimate, not financial, medical, legal, or professional advice. © WorldCalculate — reuse with attribution. Built and curated by Hassan ALRowaie.
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