Rules of Replacement II

Question 1

Negation Laws

Answer 1

p v ~p <=> T
p ^ ~p <=> F

Question 2

Distributive Laws

Answer 2

p v (q ^ r) <=> (p v q) ^ (p v r)
p ^ (q v r) <=> (p ^ q) v (p ^ r)

Question 3

De Morgan’s Laws

Answer 3

~(p v q) <=> (~p ^ ~q)
~(p ^ q) <=> (~p v ~q)

Question 4

Domination Laws

Answer 4

p v T <=> T
p ^ F <=> F

Question 5

Absorption Laws

Answer 5

p v (p ^ q) <=> p
p ^ (p v q) <=> p