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:


   11000010   00100000      this binary number is 49696 decimal (base 10)

   11010110   11101100      this binary number is 55020 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 11000010 00100000 and 11010110 11101100 = 10011001   00001101

2. The internet checksum is the one's complement of the sum: 10011001   00001101 = 01100110   11110010



That's incorrect

That's correct

The answer was: 10011001   00001101

Question 1 of 2

The answer was: 01100110   11110010

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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