CSE20 Final Exam, June 11, 2012, Name
1. (number systems: one’s complement) Show the operation of 17 + (−14) in
one’s complement of binary number system. Assume that each binary number is
represented with 10 bits. (10 points)
2. (number systems: two’s complement) We have defined and learned the idea of
two’s complement for n-bit binary numbers.
2.1. Define the complement (corresponding to two’s) using an n-digit system with
base 8. (5 points)
2.2. Show the arithmetic of x−ywhere x= 118and y= 178in the complement
representations (corresponding to two’s) using a 5-digit system with base 8. (5
points)
1
Docsity.com
