Zigzag Integer Encoder

Encode integers with the zigzag mapping: n≥0 → 2n, n<0 → −2n−1.

Description

Encode integers with the zigzag mapping: n≥0 → 2n, n<0 → −2n−1.

Zigzag Integer Encoder: Encode integers with the zigzag mapping: n≥0 → 2n, n<0 → −2n−1.

When to use Zigzag Integer Encoder

Use this encoder when a receiving system, file format, protocol, puzzle, or historical cipher explicitly requires the named representation and its alphabet or key convention is known.

values
Integers to encode.

How Zigzag Integer Encoder works

Encode integers with the zigzag mapping: n≥0 → 2n, n<0 → −2n−1. The tool evaluates the supplied inputs together and returns the named outputs below; it does not infer omitted operating conditions or change the units shown.1

codes
Zigzag codes (non-negative).

Limitations and assumptions

  • Encoding changes representation, not trustworthiness or meaning. Alphabet variants, padding, line wrapping, character encoding, byte order, unsupported characters, and malformed Unicode can affect interoperability; classical ciphers and checksums do not provide modern confidentiality or authenticity.
  • Use finite inputs in the displayed units and preserve more precision than the final presentation requires. Independently verify safety-critical, financial, compliance, or production decisions.

Alternative or Complementary approaches

Round-trip representative values through the matching decoder and verify published test vectors where available. Use authenticated encryption for security and a cryptographic hash or MAC when integrity against an adversary is required.

References

  1. Variable-length integer — Wikipedia contributors

Similar or alternative tools

  • Unsigned Varint Encoder

    Encode an exact decimal integer from 0 through 2^64−1 as unsigned LEB128 bytes, shown as uppercase hexadecimal. Signed zigzag encoding is a separate tool.

  • Gray Code Encoder

    Convert a non-negative integer to its reflected binary Gray code.

  • Rail Fence Encoder

    Encode text using the Rail Fence (zigzag) cipher.

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