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:


   11110001   10100100      this binary number is 61860 decimal (base 10)

   10101011   11000111      this binary number is 43975 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 11110001 10100100 and 10101011 11000111 = 10011101   01101100

2. The internet checksum is the one's complement of the sum: 10011101   01101100 = 01100010   10010011



That's incorrect

That's correct

The answer was: 10011101   01101100

Question 1 of 2

The answer was: 01100010   10010011

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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