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