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:


   01100100   11000011      this binary number is 25795 decimal (base 10)

   11001111   01001111      this binary number is 53071 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 01100100 11000011 and 11001111 01001111 = 00110100   00010011

2. The internet checksum is the one's complement of the sum: 00110100   00010011 = 11001011   11101100



That's incorrect

That's correct

The answer was: 00110100   00010011

Question 1 of 2

The answer was: 11001011   11101100

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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