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:


   10101110   10110001      this binary number is 44721 decimal (base 10)

   00101000   01001100      this binary number is 10316 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 10101110 10110001 and 00101000 01001100 = 11010110   11111101

2. The internet checksum is the one's complement of the sum: 11010110   11111101 = 00101001   00000010



That's incorrect

That's correct

The answer was: 11010110   11111101

Question 1 of 2

The answer was: 00101001   00000010

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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