This preview shows pages 1–2. Sign up to view the full content.
This preview has intentionally blurred sections. Sign up to view the full version.View Full Document
Unformatted text preview: borrows instead of carries. 8. (4 points) Add the following pairs of hexadecimal numbers, showing all carries. 1880 + 72901 9281 + ABCD 9. (12 points) Write the 8-bit signed-magnitude and tows-complement representations of the following decimal numbers. 31, 121, 67, 116, 91, 127 10. (15 points) Each of the following operations is correct in at least one number system. Determine possible radices of the numbers in each operation. a) 1234 + 1234 + 1234 + 1234 = 11101 b) 297 / 18 = 19 c) 5 3 = 175 11. (10 points) Show that a twos complement number can be converted to a representation with more bits by sign extension. 12. (5 points) How many bits do you need to represent a product of two n-bit binary numbers? 13. (5 points) How many bits do you need to represent a product of two n-bit twos complement numbers? The result is also a twos complement number....
View Full Document
- Fall '08