1. Construct a truth table for the Boolean equation: M = AB C + AB C + A BC + A B C

A B C M

0 0 0

1 1 1

2. Draw a simple NOT, AND, OR circuit in sum of products (SOP) form that represents the equation above.

3. The truth table for a Boolean expression is shown below. Write the Boolean expression on SOP form

x y z F

0 0 0 1

0 0 1 0

0 1 0 0

0 1 1 1

1 0 0 1

1 0 1 1

1 1 0 0

1 1 1 1

4.Find the truth table that describes the following circuit:

5. Describe the function of a decoder circuit; identify the types and quantity of gates needed to implement a 3-to-8 decoder; either create (or give the location in the text) of a logic diagram of a decoder circuit