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:


   01011111   01001001      this binary number is 24393 decimal (base 10)

   00110100   10101010      this binary number is 13482 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 01011111 01001001 and 00110100 10101010 = 10010011   11110011

2. The internet checksum is the one's complement of the sum: 10010011   11110011 = 01101100   00001100



That's incorrect

That's correct

The answer was: 10010011   11110011

Question 1 of 2

The answer was: 01101100   00001100

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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