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:


   01001000   11101101      this binary number is 18669 decimal (base 10)

   10100100   00111001      this binary number is 42041 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 01001000 11101101 and 10100100 00111001 = 11101101   00100110

2. The internet checksum is the one's complement of the sum: 11101101   00100110 = 00010010   11011001



That's incorrect

That's correct

The answer was: 11101101   00100110

Question 1 of 2

The answer was: 00010010   11011001

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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