Expresión nota×(notb+notbc)+ab
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Solución
Solución detallada
$$\left(c \wedge \neg b\right) \vee \neg b = \neg b$$
$$\neg a \wedge \left(\left(c \wedge \neg b\right) \vee \neg b\right) = \neg a \wedge \neg b$$
$$\left(a \wedge b\right) \vee \left(\neg a \wedge \left(\left(c \wedge \neg b\right) \vee \neg b\right)\right) = \left(a \wedge b\right) \vee \left(\neg a \wedge \neg b\right)$$
$$\left(a \wedge b\right) \vee \left(\neg a \wedge \neg b\right)$$
Tabla de verdad
+---+---+---+--------+
| a | b | c | result |
+===+===+===+========+
| 0 | 0 | 0 | 1 |
+---+---+---+--------+
| 0 | 0 | 1 | 1 |
+---+---+---+--------+
| 0 | 1 | 0 | 0 |
+---+---+---+--------+
| 0 | 1 | 1 | 0 |
+---+---+---+--------+
| 1 | 0 | 0 | 0 |
+---+---+---+--------+
| 1 | 0 | 1 | 0 |
+---+---+---+--------+
| 1 | 1 | 0 | 1 |
+---+---+---+--------+
| 1 | 1 | 1 | 1 |
+---+---+---+--------+
$$\left(a \vee \neg a\right) \wedge \left(a \vee \neg b\right) \wedge \left(b \vee \neg a\right) \wedge \left(b \vee \neg b\right)$$
(a∨(¬a))∧(a∨(¬b))∧(b∨(¬a))∧(b∨(¬b))
Ya está reducido a FND
$$\left(a \wedge b\right) \vee \left(\neg a \wedge \neg b\right)$$
$$\left(a \wedge b\right) \vee \left(\neg a \wedge \neg b\right)$$
$$\left(a \vee \neg b\right) \wedge \left(b \vee \neg a\right)$$