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:


   11000001   10110000      this binary number is 49584 decimal (base 10)

   00011010   01100011      this binary number is 6755 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 11000001 10110000 and 00011010 01100011 = 11011100   00010011

2. The internet checksum is the one's complement of the sum: 11011100   00010011 = 00100011   11101100



That's incorrect

That's correct

The answer was: 11011100   00010011

Question 1 of 2

The answer was: 00100011   11101100

Question 2 of 2

Try Another Problem

We greatly appreciate the work of John Broderick (UMass '21) in helping to develop these interactive problems.

Copyright © 2010-2025 J.F. Kurose, K.W. Ross
Comments welcome and appreciated: kurose@cs.umass.edu