Extended hamming code

Extended Hamming codes achieve a Hamming distance of four, which allows the decoder to distinguish between when at most one one-bit error occurs and when any two-bit errors occur. In this sense, extended Hamming codes are single-error correcting and double-error detecting, abbreviated as SECDED.

1. What will be the detection and correction capability of extended Hamming 8 4 code?
2. What is shortened Hamming code?
3. What is the Hamming distance between 10101 and 11110?
4. What is the example of Hamming code?

What will be the detection and correction capability of extended Hamming 8 4 code?

The (8,4) Extended Hamming Code

Having distance (d=4) allows correction of single bit errors and detection of 2-bit errors. Specifically, if a 1 bit error occurs, parity check (P) fails, while a 2-bit error is distinguished by the fact that parity check (P) passes.

What is shortened Hamming code?

Abstract: Shortened Hamming codes are widely used for error detection in data communications. In this paper, a method for computing the probability of an undetected error for these codes is presented.

What is the Hamming distance between 10101 and 11110?

000  011 is 011 (two 1s). The Hamming distance d(10101, 11110) is 3.

What is the example of Hamming code?

Example of Hamming Code

To find the value of R1: Follow this- check 1 bit, then skip 1 bit, check 1 bit and then skip 1 bit, and so on. R1 bits: 1, 3, 5, 7, 9, 11.. so on, Since the total number of bits is 7. So, R1 bits are: 1, 3, 5, 7.