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

1. Construct a truth table for the Boolean equation below:

M = A'BC + AB C + A BC + 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 product (SOP) form that represents the equation in problem 1.

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

x

y

z

F

0

0

0

1

0

0

1

1

0

1

0

0

0

1

1

0

1

0

0

1

1

0

1

1

1

1

0

1

1

1

1

0

5. Describe the differences between a half-adder and a full-adder;

Identify the types and quantity of gates needed to implement each type of adder circuit;

either create (or give the location in the text) of a logic diagram of each of the adder circuits.

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