Question: 1. . Draw the truth table for the equation: M = A'BC + ABC + AB C + A BC A B C M 0
1. . Draw the truth table for the equation:
M = A'BC + ABC + AB C + A BC
| 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 products (SOP) form that represents the equation in problem 1.
3. The truth table for a Boolean expression is shown below. Write the Boolean expression in 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 | 0 |
| 1 | 1 | 0 | 1 |
| 1 | 1 | 1 | 0 |
4. a) Describe the function of a multiplexer circuit;
b) identify the types and quantity of gates needed to implement a 8-to-1 multiplexer;
c) either create (or give the location in the text) of a logic diagram of a multiplexer circuit
5. Find the truth table that describes the following circuit:
F = ?
| a | b | c | d |
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| F |
| 0 | 0 | 0 | 0 |
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| 0 | 0 | 0 | 1 |
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| 0 | 0 | 1 | 0 |
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| 0 | 0 | 1 | 1 |
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| 0 | 1 | 0 | 0 |
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| 0 | 1 | 0 | 1 |
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| 0 | 1 | 1 | 0 |
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| 0 | 1 | 1 | 1 |
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| 1 | 0 | 0 | 0 |
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| 1 | 0 | 0 | 1 |
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| 1 | 0 | 1 | 0 |
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| 1 | 0 | 1 | 1 |
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| 1 | 1 | 0 | 0 |
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| 1 | 1 | 0 | 1 |
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| 1 | 1 | 1 | 0 |
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| 1 | 1 | 1 | 1 |
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