Sr Examen
Expresión AvD&¬(AvD)&C&B
El profesor se sorprenderá mucho al ver tu solución correcta😉
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Solución
Ha introducido
[src]
a∨(b∧c∧d∧(¬(a∨d)))
$$a \vee \left(b \wedge c \wedge d \wedge \neg \left(a \vee d\right)\right)$$
Solución detallada
$$\neg \left(a \vee d\right) = \neg a \wedge \neg d$$
$$b \wedge c \wedge d \wedge \neg \left(a \vee d\right) = \text{False}$$
$$a \vee \left(b \wedge c \wedge d \wedge \neg \left(a \vee d\right)\right) = a$$
$$b \wedge c \wedge d \wedge \neg \left(a \vee d\right) = \text{False}$$
$$a \vee \left(b \wedge c \wedge d \wedge \neg \left(a \vee d\right)\right) = a$$
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 | 0 | +---+---+---+---+--------+ | 0 | 1 | 0 | 1 | 0 | +---+---+---+---+--------+ | 0 | 1 | 1 | 0 | 0 | +---+---+---+---+--------+ | 0 | 1 | 1 | 1 | 0 | +---+---+---+---+--------+ | 1 | 0 | 0 | 0 | 1 | +---+---+---+---+--------+ | 1 | 0 | 0 | 1 | 1 | +---+---+---+---+--------+ | 1 | 0 | 1 | 0 | 1 | +---+---+---+---+--------+ | 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 | +---+---+---+---+--------+