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:


   00001110   11000011      this binary number is 3779 decimal (base 10)

   00000011   00100001      this binary number is 801 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 00001110 11000011 and 00000011 00100001 = 00010001   11100100

2. The internet checksum is the one's complement of the sum: 00010001   11100100 = 11101110   00011011



That's incorrect

That's correct

The answer was: 00010001   11100100

Question 1 of 2

The answer was: 11101110   00011011

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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