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A CRC is pretty simple; you take a polynomial represented as bits and the data, and divide the polynomial into the data (or you represent the data as a polynomial and do the same thing). The remainder, which is between 0 and the polynomial is the CRC.
1. Cyclic redundancy check - CRC. CRC16 (x16 + x15 + x2 + 1) x16 r[15] r[14] + r[15] + x16. The CRC-16 detects all single errors, all double bit errors and all errors with burst less than 16 bits in length. Each “r” is a register, all clocked with a common clock. Common clock not shown.
This code generator creates HDL code (VHDL, Verilog or MyHDL) for any CRC algorithm. The HDL code is synthesizable and combinatorial. That means the calculation runs in one clock cycle on an FPGA.
In this tutorial, we will study the final error detection technique – Cyclic Redundancy Check (CRC). What is Cyclic Redundancy Check? Cyclic Redundancy Check (CRC) is another error detection technique to detect errors in data that has been transmitted on a communications link.
Introduction. CRC (Cyclic Redundancy Check) is a checksum algorithm to detect inconsistency of data, e.g. bit errors during data transmission. A checksum, calculated by CRC, is attached to the data to help the receiver to detect such errors. Refer also to [1] for a short or to [4] for a very detailed CRC introduction. CRC is based on division.
Simple and effective parallel CRC calculator written in synthesizable SystemVerilog Resources
THEORY OF OPERATION. The theory of a CRC calculation is straight forward. The data is treated by the CRC algorithm as a binary num-ber. This number is divided by another binary number called the polynomial. The rest of the division is the CRC checksum, which is appended to the transmitted message.
