Question

Which error detection method involves dividing the data by a predetermined divisor and appending the remainder?

• A. Hamming Code
• B. Parity Checking
• C. Cyclic Redundancy Check
• D. Checksum

Hint:

Which technique uses modulo-2 polynomial division and attaches the remainder as check bits?

Answer 1

The Correct Option is C

Step 1: Read the description. The method takes the data, divides it by a fixed divisor, and appends the remainder to the message.

Step 2: This is exactly how Cyclic Redundancy Check (CRC) works. The data bits are treated as a polynomial and divided (using modulo-2 division) by a predetermined generator polynomial. The remainder becomes the CRC check bits that are appended to the frame.

Step 3: Compare the other choices. Parity Checking just adds one bit to make the count of 1s even or odd. Checksum adds groups of bits together. Hamming Code uses parity bits placed at power-of-two positions to correct single-bit errors. None of these use polynomial division by a divisor.

Step 4: So the correct answer is Cyclic Redundancy Check.