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18 votes
18 votes
As we are asked for 4-bit checksum, so divide the data into 4 bit words and add all.

1001 + 1100 + 1010 + 0011 = 100010

We want 4-bit checksum, bring 10 down and so add

0010 + 10 = 0100

And checksum will be the complement of 0100 which is 1011 .
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4 votes
4 votes
Add these numbers 1001+1100+1010+0011 you will get 0010 and a carry of 10 now add carry also in 0010 so 0010+10 =0100 now performs 1’s complement. you will get result as 1011 which is the required answer.
0 votes
0 votes

Since we are asked for 4-bit checksum value so we take 4 bits pairs and add them together and if the result of them exceeds 4 bits we take it as carry and add it again. We repeat the steps until all the pairs are added. Then we take the 1’s complement of the result thus obtained.

So, the checksum value is 1011.

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