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:


   00111111   10010101      this binary number is 16277 decimal (base 10)

   11011100   00101000      this binary number is 56360 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 00111111 10010101 and 11011100 00101000 = 00011011   10111110

2. The internet checksum is the one's complement of the sum: 00011011   10111110 = 11100100   01000001



That's incorrect

That's correct

The answer was: 00011011   10111110

Question 1 of 2

The answer was: 11100100   01000001

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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