# Usuario:Cheche8/ejercicio 7

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Ejercicios 1.1

22.

Contruct a true table for each of the following compoud propositions.

a) p${\displaystyle \oplus }$p

b) p${\displaystyle \oplus }$${\displaystyle \sim }$p

c) p${\displaystyle \oplus }$${\displaystyle \sim }$q

d) ${\displaystyle \sim }$p${\displaystyle \oplus }$${\displaystyle \sim }$q

e) (p${\displaystyle \oplus }$q)${\displaystyle \lor }$(p${\displaystyle \oplus }$${\displaystyle \sim }$q)

f) (p${\displaystyle \oplus }$q)${\displaystyle \land }$(p${\displaystyle \oplus }$${\displaystyle \sim }$q)

solucion

a)

```  p${\displaystyle \oplus }$p
v v v
v f f
f f v
f v f
```

b)

```  p${\displaystyle \oplus }$${\displaystyle \sim }$p
v f f
v f f
f f v
f f v
```

c)

```  p${\displaystyle \oplus }$${\displaystyle \sim }$q
v f  f
v v  v
f f  v
f v  f
```

d)

```  ${\displaystyle \sim }$p${\displaystyle \oplus }$${\displaystyle \sim }$q
f v f
f f v
v f f
v v v
```

e)

```    (p${\displaystyle \oplus }$q)${\displaystyle \lor }$(p${\displaystyle \oplus }$${\displaystyle \sim }$q)
v v v  v  v f f
v f f  v  v v v
f f v  f  f f v
f v f  v  f v f
```

f)

```   (p${\displaystyle \oplus }$q)${\displaystyle \land }$(p${\displaystyle \oplus }$${\displaystyle \sim }$q)
v v v  f  v f  f
v f f  f  v v  v
f f v  v  f f  v
f v f  v  f v  f
```