Assignment 3 - Appendix A

For most of the problems in this assignment the solution and the answer is going to be the same exact thing. So for this assignment, you may forgo the homework format and just show your work and answer. There isn't anything to calculate here, just draw the truth tables and circuits. However, your paper still needs to be neat and readable and the problems need to be in order.

1. Construct the truth table that describes the following circuit:

2.

3.

4.

5. 6. 7.

Using a truth table show that xz = (x + y)(x + )( + z). You will need to have a column in your table for the xz and one for the (x + y)(x + )( + z) to show that the two are the same.

Draw the circuits and construct the truth tables for the following:

1. a) xyz + x +

2. b) (x + y)(x + z)( + z)

Construct a truth table for the following: a) xyz + x + (y+z) + b) (x + )( + )( + )

What is the difference between a combinational logic circuit and a sequential logic circuit? Draw the symbol for a three input OR gate, show the function and the truth table.

The truth table for a Boolean expression is shown below. Write the Boolean expression for the function in sum-of-products form.