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:


   00111001   11011000      this binary number is 14808 decimal (base 10)

   10001000   10101110      this binary number is 34990 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 00111001 11011000 and 10001000 10101110 = 11000010   10000110

2. The internet checksum is the one's complement of the sum: 11000010   10000110 = 00111101   01111001



That's incorrect

That's correct

The answer was: 11000010   10000110

Question 1 of 2

The answer was: 00111101   01111001

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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