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:


   10001111   00111110      this binary number is 36670 decimal (base 10)

   10011110   10011110      this binary number is 40606 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 10001111 00111110 and 10011110 10011110 = 00101101   11011101

2. The internet checksum is the one's complement of the sum: 00101101   11011101 = 11010010   00100010



That's incorrect

That's correct

The answer was: 00101101   11011101

Question 1 of 2

The answer was: 11010010   00100010

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