Binary Numbers & Logic

CRC Calculator

Generate or verify a binary cyclic-redundancy-check remainder from an explicit polynomial.

Binary Numbers & Logic

Enter binary or code values

Deterministic local calculation with explicit word sizes and conventions

Prefixes 0b, 0o, and 0x are accepted where a field says “integer”. Underscores and visual spacing are ignored where appropriate. Your values stay in this browser.

Binary result

Enter valid values to see the result.

Your entries are calculated in this browser and are not submitted to 365CALCS.COM.

Quick guide

How to use this calculator

  1. Choose the direction, operation, representation, or parity convention when one is provided.
  2. Enter the labelled values and an explicit word size, base, polynomial, or encoding option where required.
  3. Read the primary result together with its alternate representations and stated convention.

Calculation method

Apply the declared binary rule

CRC is the remainder of polynomial division over GF(2).

The calculator validates every digit against its numeral base, keeps integer and bitwise work exact with arbitrary-precision integers, and limits fixed-width operations to the selected word.

Worked example

Worked binary example

Data 1101011011 with generator 10011 produces a four-bit remainder.

CRC is the remainder of polynomial division over GF(2).

Supported inputs

Precision and limits

Input interpretation

Binary-only fields accept 0 and 1. General integer fields accept decimal plus 0b, 0o, or 0x prefixes. Base conversion supports bases 2 through 36.

Word size and output

Most fixed-width tools support 1–256 bits. Results expose signedness, truncation, parity, or encoding conventions whenever those choices change the meaning.

Local privacy

Calculation runs in the browser. Entered text, bit patterns, code words, and numeric values are not sent to analytics or third parties.

Calculator-specific rule

Generators may have degree 1–64 and must begin and end with 1. Check mode requires at least one data bit plus the complete CRC field. Named CRC profiles can also specify initialization, reflection, and final XOR rules; this educational tool uses the exact direct model stated in the result.