When compared to single-bit errors, burst errors are more likely to occur. This

Question

When compared to single-bit errors, burst errors are more likely to occur. This is true because the duration of noise is generally longer than the duration of transferring a single bit. Assume a transmission line has a data rate of 50 Mbps and noise corrupt the line for 2 usec, how many bit errors can occur? Assume you are using hamming codes and need to transmit six data bits. What size is the code word that must be transmitted? A byte of data (1100 0110) need to be transmitted across a system using even parity Hamming codes. What is the Hamming code word transmitted? ______ A receiver using Hamming code with even parity receives Two Hamming code words. The FIRST code word received was 11 1 01 01 010 1 and the SECOND code word was 0 1 1 0 1 01 1 01 1. What is the DATA portion (bits) from the first code word? _____ What is the DATA portion (bits) from the 2nd code word? ______ One of the code words contain an error. Which of the two code words is in error? ______ What is the CORRECTED data bits from the code word that was in error? ______

Explanation / Answer

3.)

No of bit error which may occur= (50*10^6)*(20*10^-6)= 1000 bits

This means that 1000 bits can be affected when the line is corrupted for 2 micro seconds/

4.)

Size of the code word will be 10 bits in which 4 bits will be parity bits.

p1 p2 d1 p4 d2d3d4p8d5 d6

5.)

1100 0110

Let's calculate parity bits

p1=> 1001 0

p2=> 1011 1

p4=> 0011 0

p8=> 0 0

So, 011010000110.

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