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Lógica matemática/ (xy)v(yz)v(xt)v(zt)

Expresión (xy)v(yz)v(xt)v(zt)

El profesor se sorprenderá mucho al ver tu solución correcta😉

⌨

    Solución

    Ha introducido [src] 
    (t∧x)∨(t∧z)∨(x∧y)∨(y∧z)
    (t∧x)∨(t∧z)∨(x∧y)∨(y∧z)\left(t \wedge x\right) \vee \left(t \wedge z\right) \vee \left(x \wedge y\right) \vee \left(y \wedge z\right)
    Simplificación [src]
    (t∧x)∨(t∧z)∨(x∧y)∨(y∧z)\left(t \wedge x\right) \vee \left(t \wedge z\right) \vee \left(x \wedge y\right) \vee \left(y \wedge z\right) 
    (t∧x)∨(t∧z)∨(x∧y)∨(y∧z)
    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 | 1      |
+---+---+---+---+--------+
| 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 | 1      |
+---+---+---+---+--------+
| 1 | 0 | 1 | 0 | 0      |
+---+---+---+---+--------+
| 1 | 0 | 1 | 1 | 1      |
+---+---+---+---+--------+
| 1 | 1 | 0 | 0 | 1      |
+---+---+---+---+--------+
| 1 | 1 | 0 | 1 | 1      |
+---+---+---+---+--------+
| 1 | 1 | 1 | 0 | 1      |
+---+---+---+---+--------+
| 1 | 1 | 1 | 1 | 1      |
+---+---+---+---+--------+
    FNDP [src]
    (t∧x)∨(t∧z)∨(x∧y)∨(y∧z)\left(t \wedge x\right) \vee \left(t \wedge z\right) \vee \left(x \wedge y\right) \vee \left(y \wedge z\right) 
    (t∧x)∨(t∧z)∨(x∧y)∨(y∧z)
    FNC [src]
    (t∨y)∧(x∨z)∧(t∨x∨y)∧(t∨x∨z)∧(t∨y∨z)∧(x∨y∨z)∧(t∨x∨y∨z)\left(t \vee y\right) \wedge \left(x \vee z\right) \wedge \left(t \vee x \vee y\right) \wedge \left(t \vee x \vee z\right) \wedge \left(t \vee y \vee z\right) \wedge \left(x \vee y \vee z\right) \wedge \left(t \vee x \vee y \vee z\right) 
    (t∨y)∧(x∨z)∧(t∨x∨y)∧(t∨x∨z)∧(t∨y∨z)∧(x∨y∨z)∧(t∨x∨y∨z)
    FNCD [src]
    (t∨y)∧(x∨z)\left(t \vee y\right) \wedge \left(x \vee z\right) 
    (t∨y)∧(x∨z)
    FND [src]
    Ya está reducido a FND
    (t∧x)∨(t∧z)∨(x∧y)∨(y∧z)\left(t \wedge x\right) \vee \left(t \wedge z\right) \vee \left(x \wedge y\right) \vee \left(y \wedge z\right) 
    (t∧x)∨(t∧z)∨(x∧y)∨(y∧z)
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