Sr Examen
Expresión xyz+axyz+az
El profesor se sorprenderá mucho al ver tu solución correcta😉
⌨
Solución
Ha introducido
[src]
(a∧z)∨(x∧y∧z)∨(a∧x∧y∧z)
$$\left(a \wedge z\right) \vee \left(x \wedge y \wedge z\right) \vee \left(a \wedge x \wedge y \wedge z\right)$$
Solución detallada
$$\left(a \wedge z\right) \vee \left(x \wedge y \wedge z\right) \vee \left(a \wedge x \wedge y \wedge z\right) = z \wedge \left(a \vee x\right) \wedge \left(a \vee y\right)$$
Tabla de verdad
+---+---+---+---+--------+ | a | x | y | z | 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 | 0 | +---+---+---+---+--------+ | 0 | 1 | 0 | 1 | 0 | +---+---+---+---+--------+ | 0 | 1 | 1 | 0 | 0 | +---+---+---+---+--------+ | 0 | 1 | 1 | 1 | 1 | +---+---+---+---+--------+ | 1 | 0 | 0 | 0 | 0 | +---+---+---+---+--------+ | 1 | 0 | 0 | 1 | 1 | +---+---+---+---+--------+ | 1 | 0 | 1 | 0 | 0 | +---+---+---+---+--------+ | 1 | 0 | 1 | 1 | 1 | +---+---+---+---+--------+ | 1 | 1 | 0 | 0 | 0 | +---+---+---+---+--------+ | 1 | 1 | 0 | 1 | 1 | +---+---+---+---+--------+ | 1 | 1 | 1 | 0 | 0 | +---+---+---+---+--------+ | 1 | 1 | 1 | 1 | 1 | +---+---+---+---+--------+
FND
[src]
$$\left(a \wedge z\right) \vee \left(a \wedge x \wedge z\right) \vee \left(a \wedge y \wedge z\right) \vee \left(x \wedge y \wedge z\right)$$
(a∧z)∨(a∧x∧z)∨(a∧y∧z)∨(x∧y∧z)
FNC
[src]
Ya está reducido a FNC
$$z \wedge \left(a \vee x\right) \wedge \left(a \vee y\right)$$
z∧(a∨x)∧(a∨y)