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