a) Find a compound proposition of

p

and

q

, using only

and

^(^())

, which will always give the same truth value as

pvvq

.\ b) Find a compound proposition of

p

and

q

, using only and

vv

, which will always give the same truth value as

p^(^())q

.\ c) Find a compound proposition of

p

and

q

, using only and

^(^())

, which will always give the same truth value as

p=>q

.\ d) Find a compound proposition of

p

and

q

, using only and

V

, which will always give the same truth value as

p=>q

.