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