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