Question

Python working code

P) Problem 5 A truth table on three variables p, q, r has 23 assignments (ti, t2, t3) where ty, t2, t3 e {T,ㅘ. Show that the following statements are equivalent by constructing the truth tables of each statement and showing that the resulting truth values are the same.

Answer 1

Required table:

P	Q	R	(P $\cap$ Q)->R	(P $\cap$ Q)'UR	(P $\cap$ Q) $\cap$ R'
0	0	0	1	1	1
0	0	1	0	0	0
0	1	0	1	1	1
0	1	1	0	0	0
1	0	0	1	1	1
1	0	1	1	1	1
1	1	0	0	0	0
1	1	1	1	1	1

As all the values in table are same. Therefore, all the given three expressions are equivalent.