1
Question
The Boolean Expression (p∧∼q)∨q∨(∼p∧q) is equivalent to:
The Boolean Expression (p∧∼q)∨q∨(∼p∧q) is equivalent to:
Open in App
Solution
The correct option is B
(p∧∼q)∨q∨(∼p∧q)=((p∨q)∧(∼q∨q))∨(∼p∧q)=((p∨q)∧t)∨(∼p∧q)=(p∨q)∨(−p∧q)=(p∨q∨−p)∧(p∨q∨q)=t∧(p∨q)=p∨q
(p∧∼q)∨q∨(∼p∧q)=((p∨q)∧(∼q∨q))∨(∼p∧q)=((p∨q)∧t)∨(∼p∧q)=(p∨q)∨(−p∧q)=(p∨q∨−p)∧(p∨q∨q)=t∧(p∨q)=p∨q
Suggest Corrections
12
Similar questions
View More
Join BYJU'S Learning Program
Explore more
Join BYJU'S Learning Program
