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List the reasons used for algebraic proof of Associative theorm.

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Question

List the reasons used for algebraic proof of Associative theorm.

Short Answer
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Solution

The algebraic proof uses these Boolean laws:

  1. Identity law
  2. Complement law
  3. Distributive law
  4. Associative rearrangement of terms
  5. Commutative law
  6. Idempotent law
  7. Absorption law

The proof establishes [A + (B + C) = (A + B) + C].

The duality principle then gives the corresponding AND form, [A(BC) = (AB)C].

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Chapter 11: Boolean Algebra - EXERCISE [Page 219]

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CBSE Computer Science with Python [English] Class 12
Chapter 11 Boolean Algebra
EXERCISE | Q 23. | Page 219
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