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:


   11001110   11111111      this binary number is 52991 decimal (base 10)

   11111111   00010100      this binary number is 65300 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 11001110 11111111 and 11111111 00010100 = 11001110   00010100

2. The internet checksum is the one's complement of the sum: 11001110   00010100 = 00110001   11101011



That's incorrect

That's correct

The answer was: 11001110   00010100

Question 1 of 2

The answer was: 00110001   11101011

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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