Question
Download Solution PDFWhich of the following Boolean algebra rules is correct ?
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFThe correct answer is Option 4.
Key Points
- The correct Boolean algebra rule is A + A̅B = A + B.
- This rule can be derived using the Distributive Law and the Complement Law in Boolean algebra.
- First, we use the Distributive Law: A + A̅B = (A + A̅)(A + B).
- According to the Complement Law, (A + A̅) = 1.
- So, (A + A̅)(A + B) = 1.(A + B) = A + B.
- Therefore, the expression A + A̅B simplifies to A + B.
Additional Information
- Boolean algebra is a branch of algebra that deals with true or false values, typically denoted as 1 and 0 respectively.
- It is fundamental in the design of digital circuits and computer algorithms.
- Basic operations in Boolean algebra include AND, OR, and NOT.
- Boolean algebra helps in simplifying complex logical expressions and is used extensively in computer science and electrical engineering.
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