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:


   11001100   10100111      this binary number is 52391 decimal (base 10)

   10010001   01110100      this binary number is 37236 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 11001100 10100111 and 10010001 01110100 = 01011110   00011100

2. The internet checksum is the one's complement of the sum: 01011110   00011100 = 10100001   11100011



That's incorrect

That's correct

The answer was: 01011110   00011100

Question 1 of 2

The answer was: 10100001   11100011

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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