Calculators » CRC-32 Calculator | CRC32 Formula, Polynomial & Examples

CRC-32 Calculator | CRC32 Formula, Polynomial & Examples

crc-32 crc32 calculator formula calculator

A CRC-32 calculator is an essential online tool for computing 32-bit Cyclic Redundancy Check (CRC-32) values used to verify data integrity in digital communication, file formats, and networking protocols. CRC-32 is one of the most widely adopted error detection algorithms and is used in standards such as Ethernet (IEEE 802.3), ZIP, PNG, GZIP, MPEG-2 and BZIP2.

This online CRC-32 calculator allows you to calculate CRC-32 checksums using hexadecimal input data, configurable generator polynomial vectors, and standard CRC parameters such as initial value (INIT), input/output reflection (RefIn/RefOut), and final XOR (XorOut).

CRC32 checksum Calculator

Inputs

Outputs

Example-1 : CRC-32 (IEEE 802.3)

INPUTS:

  • Data Vector (Hex) = 313233343536373839
  • Polynomial = 0x04C11DB7
  • Init = 0xFFFFFFFF
  • RefIn = 1 (i.e. TRUE)
  • RefOut = 1 (i.e. TRUE)
  • XorOut = 0xFFFFFFFF

OUTPUT: CRC-32 Checksum output = 0xCBF43926

Example-2 : CRC-32/MPEG-2

INPUTS:

  • Data Vector (Hex) = 313233343536373839
  • Polynomial = 0x04C11DB7
  • Init = 0xFFFFFFFF
  • RefIn = 0 (i.e. FALSE)
  • RefOut = 0 (i.e. FALSE)
  • XorOut = 0x00000000

OUTPUT: CRC-32 Checksum output = 0x0376E6E7

Example-3 : CRC-32/BZIP2

INPUTS:

  • Data Vector (Hex) = 313233343536373839
  • Polynomial = 0x04C11DB7
  • Init = 0xFFFFFFFF
  • RefIn = 0 (i.e. FALSE)
  • RefOut = 0 (i.e. FALSE)
  • XorOut = 0xFFFFFFFF

OUTPUT: CRC-32 Checksum output = 0xFC891918

1. CRC-32 Basics (What CRC-32 Is)

CRC-32 (Cyclic Redundancy Check - 32 bit) is an error-detection method based on polynomial division over GF(2) (binary arithmetic).

Key ideas:

  • Bits are polynomial coefficients (0 or 1)
  • Addition and subtraction = XOR
  • No carries or borrows
  • Final result is a 32-bit remainder

CRC-32 is widely used in:

  • Ethernet (IEEE 802.3)
  • ZIP / PNG / GZIP
  • Filesystems
  • Communication protocols

CRC-32 Generator Polynomial

The standard CRC-32 generator polynomial is :

G(x) = x^32 + x^26 + x^23 + x^22 + x^16 + x^12 + x^11 + x^10 + x^8 + x^7 + x^5 + x^4 + x^2 + x + 1

Hex Representation (Without the implicit x^32 term) : 0x04C11DB7

This polynomial is fixed for most CRC-32 variants; the differences come from initial value, reflection and final XOR.

Summary:

Use this CRC-32 calculator and formula guide to quickly verify data integrity, troubleshoot protocol issues and gain a deeper understanding of how CRC-32 protects data in modern digital systems.

References for further study

  1. A Painless Guide to CRC Error Detection Algorithms by Ross N. Williams , ( https://zlib.net/crc_v3.txt )

  2. RevEng CRC Catalogue , ( https://reveng.sourceforge.io/crc-catalogue/ )

  3. IEEE 802.3 — Ethernet CRC-32

  4. ISO/IEC 3309 — CRC-32 standard