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:


   00100000   01101100      this binary number is 8300 decimal (base 10)

   01101011   01101011      this binary number is 27499 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 00100000 01101100 and 01101011 01101011 = 10001011   11010111

2. The internet checksum is the one's complement of the sum: 10001011   11010111 = 01110100   00101000



That's incorrect

That's correct

The answer was: 10001011   11010111

Question 1 of 2

The answer was: 01110100   00101000

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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