Please give answer in attached file! Answer all questions
Please give answer in attached file! Answer all questions!
1. Construct a truth table for the Boolean equation:
M = A’B C’ + A’B C + A B’C + 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
Part I
Create a three-variable Boolean equation that contains between one and four terms
~ABC + A~BC + ~AB~C
Part II
Create the truth table that represents that equation
| A | B | C | Output |
| 0 | 0 | 0 | 0 |
| 0 | 0 | 1 | 0 |
| 0 | 1 | 0 | 1 |
| 0 | 1 | 1 | 1 |
| 1 | 0 | 0 | 0 |
| 1 | 0 | 1 | 1 |
| 1 | 1 | 0 | 0 |
| 1 | 1 | 1 | 0 |
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