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:


   11010100   10111000      this binary number is 54456 decimal (base 10)

   01011010   11011110      this binary number is 23262 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 11010100 10111000 and 01011010 11011110 = 00101111   10010111

2. The internet checksum is the one's complement of the sum: 00101111   10010111 = 11010000   01101000



That's incorrect

That's correct

The answer was: 00101111   10010111

Question 1 of 2

The answer was: 11010000   01101000

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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