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Simplify the Boolean expression AB + (AC)' +A * B' * C(AB+C)?
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Simplify the Boolean expression AB + (AC)' +A * B' * C(AB+C)?
Boolean Expression Simplification:
1. Original Expression: AB + (AC)' + A * B' * C(AB+C)
2. Simplify the individual terms:
- (AC)' = A' + C'
- A * B' * C(AB+C) = A * B' * C
3. Substitute the simplified terms back into the original expression:
AB + (A' + C') + A * B' * C
4. Distribute A in the last term:
AB + A' + C + A * B' * C
5. Apply the Distributive Property:
AB + A' + C + AB'C
6. Combine like terms:
AB + AB'C + A' + C
7. Factor out AB:
AB(1 + C) + A' + C
8. Apply the Identity Law:
AB + A' + C
9. Final Simplified Expression: AB + A' + C
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Simplify the Boolean expression AB + (AC)' +A * B' * C(AB+C)?
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Simplify the Boolean expression AB + (AC)' +A * B' * C(AB+C)? for UPSC 2025 is part of UPSC preparation. The Question and answers have been prepared according to the UPSC exam syllabus. Information about Simplify the Boolean expression AB + (AC)' +A * B' * C(AB+C)? covers all topics & solutions for UPSC 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Simplify the Boolean expression AB + (AC)' +A * B' * C(AB+C)?.
Simplify the Boolean expression AB + (AC)' +A * B' * C(AB+C)? for UPSC 2025 is part of UPSC preparation. The Question and answers have been prepared according to the UPSC exam syllabus. Information about Simplify the Boolean expression AB + (AC)' +A * B' * C(AB+C)? covers all topics & solutions for UPSC 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Simplify the Boolean expression AB + (AC)' +A * B' * C(AB+C)?.
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