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:


   11001101   10001101      this binary number is 52621 decimal (base 10)

   00101110   01011111      this binary number is 11871 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 11001101 10001101 and 00101110 01011111 = 11111011   11101100

2. The internet checksum is the one's complement of the sum: 11111011   11101100 = 00000100   00010011



That's incorrect

That's correct

The answer was: 11111011   11101100

Question 1 of 2

The answer was: 00000100   00010011

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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