Interactive end-of-chapter exercises


Computing an Internet checksum

Consider the two 16-bit words (shown in binary) below. Recall that to compute the Internet checksum of a set of 16-bit words, we compute the one's complement sum [1] of the two words. That is, we add the two numbers together, making sure that any carry into the 17th bit of this initial sum is added back into the 1's place of the resulting sum); we then take the one's complement of the result. Compute the Internet checksum value for these two 16-bit words:


   10000110   01001010      this binary number is 34378 decimal (base 10)

   11001101   10010110      this binary number is 52630 decimal (base 10)



Question List


1. What is the sum of these two 16 bit numbers? Don't put any spaces in your answer

2. Using the sum from question 1, what is the checksum? Don't put any spaces in your answer




Solution


1. The sum of 10000110 01001010 and 11001101 10010110 = 01010011   11100001

2. The internet checksum is the one's complement of the sum: 01010011   11100001 = 10101100   00011110



That's incorrect

That's correct

The answer was: 01010011   11100001

Question 1 of 2

The answer was: 10101100   00011110

Question 2 of 2

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We greatly appreciate the work of John Broderick (UMass '21) in helping to develop these interactive problems.

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