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:


   01011110   10010111      this binary number is 24215 decimal (base 10)

   11011011   00101010      this binary number is 56106 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 01011110 10010111 and 11011011 00101010 = 00111001   11000010

2. The internet checksum is the one's complement of the sum: 00111001   11000010 = 11000110   00111101



That's incorrect

That's correct

The answer was: 00111001   11000010

Question 1 of 2

The answer was: 11000110   00111101

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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