CIS 125
11
– Combinatorial Circuits
For exercises 1-5, write the
Boolean expression that represents the combinatorial circuit.
Create a logic/truth table,
and determine the output for the given set of inputs.
1.
2.
3.
4.
5.
6. Use Boolean expressions to describe the outputs of the
circuit shown below. (y1
in terms of x1, x2,
x3 and y2
in terms of x1, x2,
x3 )
7. Use Boolean expressions to describe the outputs of the
circuit shown below. (y1 , y2 and y3 in terms of x1,
x2, x3 )
8. Use Boolean expressions to describe the outputs of the
circuit shown below. (y1 , y2 , y3 and y4 in terms of x1, x2, x3 , x4 )
9. Create a combinatorial circuit for the function, z, displayed in the truth table below.
|
x |
y |
z |
|
0 |
0 |
1 |
|
0 |
1 |
0 |
|
1 |
0 |
0 |
|
1 |
1 |
1 |
10. Create a combinatorial circuit for the function, z, displayed in the truth table below.
(Hint: There may be more than one way to express z in terms of x and y.)
|
x |
y |
z |
|
0 |
0 |
1 |
|
0 |
1 |
1 |
|
1 |
0 |
0 |
|
1 |
1 |
1 |