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:


   01000001   11010000      this binary number is 16848 decimal (base 10)

   00100000   01010111      this binary number is 8279 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 01000001 11010000 and 00100000 01010111 = 01100010   00100111

2. The internet checksum is the one's complement of the sum: 01100010   00100111 = 10011101   11011000



That's incorrect

That's correct

The answer was: 01100010   00100111

Question 1 of 2

The answer was: 10011101   11011000

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