High School

If the data unit to be transmitted is 101010101010, divided into four subunits 101, 010, 101, 010, what will be the checksum?

A. 111
B. 000
C. 010
D. 101

Answer :

Final answer:

To calculate the checksum for the given data units '101', '010', '101', '010', binary addition without carry-over is performed (XOR operation). The resulting checksum is '000'. So, the correct option is B.

Explanation:

The student's question involves calculating the checksum for error detection in data transmission. This process belongs to the field of Computers and Technology and is particularly relevant to networking and data communication studies which are typically college-level topics. The checksum calculation itself is a simple arithmetic operation but requires a good understanding of binary numbers.

To calculate the checksum for the given data units '101', '010', '101', '010', you would perform binary addition without carry-over, which simplifies to the XOR operation for two binary numbers.

Add the four subunits in pairs, and then add the resulting sums to obtain the final checksum:

101 XOR 010 = 111

101 XOR 010 = 111

Now, add the intermediate sums:

111 XOR 111 = 000

The final checksum is, therefore, '000' which corresponds to option b. 000.