Sr Examen
Expresión not(a*b+a+not(c)+b)
El profesor se sorprenderá mucho al ver tu solución correcta😉
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Solución
Ha introducido
[src]
¬(a∨b∨(¬c)∨(a∧b))
$$\neg \left(a \vee b \vee \left(a \wedge b\right) \vee \neg c\right)$$
Solución detallada
$$a \vee b \vee \left(a \wedge b\right) \vee \neg c = a \vee b \vee \neg c$$
$$\neg \left(a \vee b \vee \left(a \wedge b\right) \vee \neg c\right) = c \wedge \neg a \wedge \neg b$$
$$\neg \left(a \vee b \vee \left(a \wedge b\right) \vee \neg c\right) = c \wedge \neg a \wedge \neg b$$
Tabla de verdad
+---+---+---+--------+ | a | b | c | result | +===+===+===+========+ | 0 | 0 | 0 | 0 | +---+---+---+--------+ | 0 | 0 | 1 | 1 | +---+---+---+--------+ | 0 | 1 | 0 | 0 | +---+---+---+--------+ | 0 | 1 | 1 | 0 | +---+---+---+--------+ | 1 | 0 | 0 | 0 | +---+---+---+--------+ | 1 | 0 | 1 | 0 | +---+---+---+--------+ | 1 | 1 | 0 | 0 | +---+---+---+--------+ | 1 | 1 | 1 | 0 | +---+---+---+--------+