CSC 306 Systems Architecture
CSC306X: Systems Architecture
Week 10 Assignment (Due by Sunday of Week 10 to Dropbox 10)
1. Problem 1 (30 points): Write a simplified expression for the Boolean function defined by each of the following Kmaps.
a.
b.
c.
2. Problem 2 (30 points). Create the Kmaps and then simplify for the following functions:
a. F(x,y,z) = x'y'z' + x'yz + x'yz'
b. F(x,y,z) = x'y'z' + x'yz' + xy'z' + xyz'
c. F(x,y,z) = y'z' + y'z + xyz'
3. Problem 3 (40 points). Write a simplified expression for the Boolean function defined by each of the following Kmaps.
|
WX\YZ |
00 |
01 |
11 |
10 |
|
00 |
1 |
|
|
1 |
|
01 |
1 |
|
|
1 |
|
11 |
|
|
1 |
|
|
10 |
1 |
|
1 |
|
b.
|
WX\YZ |
00 |
01 |
11 |
10 |
|
00 |
1 |
1 |
1 |
1 |
|
01 |
|
|
1 |
1 |
|
11 |
1 |
1 |
1 |
1 |
|
10 |
1 |
|
|
1 |
c.
|
WX\YZ |
00 |
01 |
11 |
10 |
|
00 |
|
1 |
|
1 |
|
01 |
|
1 |
1 |
1 |
|
11 |
1 |
1 |
|
|
|
10 |
1 |
1 |
|
1 |
1CSC306X