00:01
We have to show that p this with not q gives r this is equivalent to not r gives to not p and with q.
00:24
We have to show this.
00:26
For this case we will use truth table and there are coefficients are using, there are variables are using here p, q and r.
00:34
So p, q and r.
00:37
Next we will use here not p, not q, not r.
00:45
And next we have to calculate is p or not q.
00:51
Next p or not q gives r.
00:58
And next we have to calculate not r gives and there should be one should be calculated.
01:06
There is it should be calculated first p and not p and q then not r gives not p, not p and q.
01:31
We have to calculate these values.
01:33
For that firstly we are choosing true false, true false, these approximation that is true, true and true and there is true, true, false.
01:45
These are the chances that can be comes.
01:48
So true, false, true, false, true, true, true, false, false, false, true, true, false, true, false and false, false, true.
02:05
The last case is false, false and false.
02:10
Now we have to write the controller positive of p.
02:12
That means we have to find the complement of this.
02:17
Complement of true is false, complement of true is false, complement of true is false and complement of false is true.
02:25
So such cases are we are writing.
02:29
So true, true and true.
02:31
Similarly for not q we will get f, false, false, true, false, true, false, true and not r will be false, true, false, false, true, true, false, true.
02:57
Now we have to calculate this p or not q.
03:02
In that case if one of them contains true then answer will be true.
03:07
So for this we will check this is p and this is not q.
03:12
We have to check true and false.
03:14
We get true because one of them contains true.
03:16
Similarly for true next is also false, next is true, next will be false, then true, then false, then true and then last true.
03:29
Now we have to check this gives r.
03:32
In that case if both having false the answer will be false or if the r contains false and this is true then result will be contained only r terms...
