Sr Examen
Expresión -(a*b)+(-b*(-d))+a*c*(-d)
El profesor se sorprenderá mucho al ver tu solución correcta😉
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Solución
Ha introducido
[src]
(¬(a∧b))∨((¬b)∧(¬d))∨(a∧c∧(¬d))
$$\left(\neg b \wedge \neg d\right) \vee \left(a \wedge c \wedge \neg d\right) \vee \neg \left(a \wedge b\right)$$
Solución detallada
$$\neg \left(a \wedge b\right) = \neg a \vee \neg b$$
$$\left(\neg b \wedge \neg d\right) \vee \left(a \wedge c \wedge \neg d\right) \vee \neg \left(a \wedge b\right) = \left(c \wedge \neg d\right) \vee \neg a \vee \neg b$$
$$\left(\neg b \wedge \neg d\right) \vee \left(a \wedge c \wedge \neg d\right) \vee \neg \left(a \wedge b\right) = \left(c \wedge \neg d\right) \vee \neg a \vee \neg b$$
Tabla de verdad
+---+---+---+---+--------+ | a | b | c | d | result | +===+===+===+===+========+ | 0 | 0 | 0 | 0 | 1 | +---+---+---+---+--------+ | 0 | 0 | 0 | 1 | 1 | +---+---+---+---+--------+ | 0 | 0 | 1 | 0 | 1 | +---+---+---+---+--------+ | 0 | 0 | 1 | 1 | 1 | +---+---+---+---+--------+ | 0 | 1 | 0 | 0 | 1 | +---+---+---+---+--------+ | 0 | 1 | 0 | 1 | 1 | +---+---+---+---+--------+ | 0 | 1 | 1 | 0 | 1 | +---+---+---+---+--------+ | 0 | 1 | 1 | 1 | 1 | +---+---+---+---+--------+ | 1 | 0 | 0 | 0 | 1 | +---+---+---+---+--------+ | 1 | 0 | 0 | 1 | 1 | +---+---+---+---+--------+ | 1 | 0 | 1 | 0 | 1 | +---+---+---+---+--------+ | 1 | 0 | 1 | 1 | 1 | +---+---+---+---+--------+ | 1 | 1 | 0 | 0 | 0 | +---+---+---+---+--------+ | 1 | 1 | 0 | 1 | 0 | +---+---+---+---+--------+ | 1 | 1 | 1 | 0 | 1 | +---+---+---+---+--------+ | 1 | 1 | 1 | 1 | 0 | +---+---+---+---+--------+
FNCD
[src]
$$\left(c \vee \neg a \vee \neg b\right) \wedge \left(\neg a \vee \neg b \vee \neg d\right)$$
(c∨(¬a)∨(¬b))∧((¬a)∨(¬b)∨(¬d))
FND
[src]
Ya está reducido a FND
$$\left(c \wedge \neg d\right) \vee \neg a \vee \neg b$$
(¬a)∨(¬b)∨(c∧(¬d))
FNC
[src]
$$\left(c \vee \neg a \vee \neg b\right) \wedge \left(\neg a \vee \neg b \vee \neg d\right)$$
(c∨(¬a)∨(¬b))∧((¬a)∨(¬b)∨(¬d))