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:


   10110011   00101101      this binary number is 45869 decimal (base 10)

   00110010   00001001      this binary number is 12809 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 10110011 00101101 and 00110010 00001001 = 11100101   00110110

2. The internet checksum is the one's complement of the sum: 11100101   00110110 = 00011010   11001001



That's incorrect

That's correct

The answer was: 11100101   00110110

Question 1 of 2

The answer was: 00011010   11001001

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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