Algebra booleana binaria

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1.- a b c + a' b' c + a' b c + a' b' c' | | | | | | | | | | | | | | | | | |
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| ENTRADAS | S | | | | | | | | | | | | | | | | | | | |
| a | b | c | | | | | | | | | | | | | | | | | | | | |
|0 | 0 | 0 | 1 | s1 | 0 | 0 | 0 | + | 1 | 1 | 0 | + | 1 | 0 | 0 | + | 1 | 1 | 1 | | | |
| 0 | 0 | 1 | 1 | s2 | 0 | 0 | 1 | + | 1 | 1 | 1 | + | 1 | 0 | 1 | + | 1 | 1 | 0 | | | |
| 0 | 1 | 0 | 0 | s3 | 0 | 1 | 0 | + | 1 | 0 | 0 | + | 1 | 1 | 0 | + | 1 | 0 | 1 | | | |
| 0 | 1 | 1 | 1 | s4 | 0 | 1 | 1 | + | 1 | 0 | 1 | + | 1 | 1 | 1 | + | 1 | 0 | 0 | | | |
| 1 | 0 | 0 | 0 | s5 |1 | 0 | 0 | + | 0 | 1 | 0 | + | 0 | 0 | 0 | + | 0 | 1 | 1 | | | |
| 1 | 0 | 1 | 0 | s6 | 1 | 0 | 1 | + | 0 | 1 | 1 | + | 0 | 0 | 1 | + | 0 | 1 | 0 | | | |
| 1 | 1 | 0 | 1 | s7 | 1 | 1 | 0 | + | 0 | 0 | 0 | + | 0 | 1 | 0 | + | 0 | 0 | 1 | | | |
| 1 | 1 | 1 | 1 | s8 | 1 | 1 | 1 | + | 0 | 0 | 1 | + | 0 | 1 | 1 | + | 0 | 0 | 0 | | | |
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| Mapa de Karnaugh | |   | bc |   |   |   |   |   |   |   |   |   |   |   |   | | | | |
| | | a |   |   | 0 | 0 |   | 0 | 1 |   | 1 | 1 |   | 1 | 0 | | | | |
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| | | 0 |   | 1 |   | 1 |
  | 1 |   |   | | | | |
| | | 1 |   |   |   |   |   | 1 |   | 1 | | | | |
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| | | | | | | | Simplificación de la funciónR= a' b' + a' c + a b | | | | | || | |
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| | | | | | | a' | b' | | a' | c | | a | b | | | | | | | | | |
| | | | | | | 1 | 1 | + | 1 | 0 | + | 0 | 0 | = | 1 | | | | | | | |
| | | | | | | 1 | 1 | + | 1 | 1 | + | 0 | 0 | = | 1 | | | | | | | |
| | | || | | 1 | 0 | + | 1 | 0 | + | 0 | 1 | = | 0 | | | | | | | |
| | | | | | | 1 | 0 | + | 1 | 1 | + | 0 | 1 | = | 1 | | | | | | | |
| | | | | | | 0 | 1 | + | 0 | 0 | + | 1 | 0 | = | 0 | | | | | | | |
| | | | | | | 0 | 1 | + | 0 | 1 | + | 1 | 0 | = | 0 | | | | | | | |
| | | | | | | 0 | 0 | + | 0 | 0 | + | 1 | 1 | = | 1 | | | | | || |
| | | | | | | 0 | 0 | + | 0 | 1 | + | 1 | 1 | = | 1 | | | | | | | |
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1) Circuito lógico simplificado: R= a' b' + a' c + a b

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2.- bc + ac' + ab +bcd | | | | | | | | | | | | | | | | | | | |
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| | ENTRADAS | S | | | | | | | | | | | | | | | | | |
| | a | b | c | d | | | | | | | || | | | | | | | | | |
| | 0 | 0 | 0 | 0 | 0 | | 0 | 0 | + | 0 | 1 | + | 0 | 0 | + | 0 | 0 | 0 | | | | |
| | 0 | 0 | 0 | 1 | 0 | | 0 | 0 | + | 0 | 1 | + | 0 | 0 | + | 0 | 0 | 1 | | | | |
| | 0 | 0 | 1 | 0 | 0 | | 0 | 1 | + | 0 | 0 | + | 0 | 0 | + | 0 | 1 | 0 | | | | |
| | 0 | 0 | 1 | 1 | 0 | | 0 | 1 | + | 0 | 0 | + | 0 | 0 | + | 0 | 1 | 1 | | | | |...
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