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:


   11000011   10011010      this binary number is 50074 decimal (base 10)

   00111111   11011010      this binary number is 16346 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 11000011 10011010 and 00111111 11011010 = 00000011   01110101

2. The internet checksum is the one's complement of the sum: 00000011   01110101 = 11111100   10001010



That's incorrect

That's correct

The answer was: 00000011   01110101

Question 1 of 2

The answer was: 11111100   10001010

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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