Question
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 |
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1 | 1 | 1 |
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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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