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:


   10111001   10110101      this binary number is 47541 decimal (base 10)

   01011100   01000110      this binary number is 23622 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 10111001 10110101 and 01011100 01000110 = 00010101   11111100

2. The internet checksum is the one's complement of the sum: 00010101   11111100 = 11101010   00000011



That's incorrect

That's correct

The answer was: 00010101   11111100

Question 1 of 2

The answer was: 11101010   00000011

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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