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:


   10101000   11010111      this binary number is 43223 decimal (base 10)

   11011101   00011000      this binary number is 56600 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 10101000 11010111 and 11011101 00011000 = 10000101   11110000

2. The internet checksum is the one's complement of the sum: 10000101   11110000 = 01111010   00001111



That's incorrect

That's correct

The answer was: 10000101   11110000

Question 1 of 2

The answer was: 01111010   00001111

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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