1
EE 101 Homework 5
Fall ’0
9
● Redekopp
Name: _________________________________________
Lecture 9:30 / 12:30 / 2:00
Due:
Tues. Oct. 20
th
in class
Score: ________
Show work to get full credit.
Remember, use on only one side of the paper and staple them together.
Only use a calculator to CHECK your work, not to DO your work.
1.
(20
pts.) Perform the following addition and subtraction problems assuming 2’s
complement numbers.
State whether overflow does or does not occur for each
problem.
Justify your answer for why overflow does or does not occur.
(You can
easily check your work by converting to decimal.)
a.)
1010 0110
b.)
0010 0001
+1101 1011
+0111 1001
c.)
1000 0010
d.)
0101 1001
1010 1111
1010 0101
2.
(12
pts.) For binary subtraction we take the 2’s complement (1’s complement + 1) of
the bottom number and add it to the top number.
Hexadecimal subtraction can be
performed by taking the 16’s complement (15’s complement + 1) of the bottom
number and add it to the top number.
Use this method to perform the hex subtraction
problems below, which are the hex equivalents of questions c and d from the problem
above.
You should be able to check your work by converting your binary answers
above to hex.
[Hint:
The 15’s complement is found by subtracting each digit of the
This preview has intentionally blurred sections. Sign up to view the full version.
View Full Document
This is the end of the preview.
Sign up
to
access the rest of the document.
 '06
 Redekopp
 MSB, Comparator, 7 pts, 6bit, 1bit unsigned comparator

Click to edit the document details