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:


   00010011   11010010      this binary number is 5074 decimal (base 10)

   11101110   00010110      this binary number is 60950 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 00010011 11010010 and 11101110 00010110 = 00000001   11101001

2. The internet checksum is the one's complement of the sum: 00000001   11101001 = 11111110   00010110



That's incorrect

That's correct

The answer was: 00000001   11101001

Question 1 of 2

The answer was: 11111110   00010110

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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