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