ICSE Class 12 Computer Science – Chapter 1: Boolean

Sections

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1. 1

   Boolean Algebra

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   Boolean Algebra is the study of binary variables and logical operations,...

2. 1.1

   What Is Boolean Algebra?

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   Boolean Algebra focuses on binary variables and logical operations, forming...

3. 1.2

   Basic Boolean Operators

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   This section introduces the fundamental Boolean operators: AND, OR, and NOT,...

4. 1.3

   Laws Of Boolean Algebra

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   The Laws of Boolean Algebra are essential principles used to simplify...

5. 1.4

   Duality Principle

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   The Duality Principle outlines how Boolean expressions maintain their...

6. 1.5

   De Morgan’s Theorems

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   De Morgan’s Theorems are essential principles in Boolean algebra used for...

7. 1.6

   Canonical Forms

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   Canonical forms in Boolean Algebra refer to specific standardized...

8. 1.7

   Boolean Function Minimization

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   This section covers methods for simplifying Boolean functions to make...

9. 1.8

   Logic Gates

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   Logic gates are fundamental components of Boolean algebra used to implement...

10. 1.9

    Applications Of Boolean Algebra

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    Boolean Algebra is fundamental in designing and optimizing digital circuits,...

11. 1.2

    Basic Boolean Operators

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12. 1.2.1

    And Operation

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    The AND operation is a fundamental Boolean operation that yields true only...

13. 1.2.2

    Or Operation

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    The OR operation in Boolean algebra yields true if at least one of its...

14. 1.2.3

    Not Operation

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    The NOT operation is a basic Boolean operator that inverts the value of a...

15. 1.3

    Laws Of Boolean Algebra

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16. 1.3.1

    Identity Laws

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    The Identity Laws in Boolean algebra establish the fundamental role of 1 and...

17. 1.3.2

    Null Laws

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    Null Laws in Boolean algebra state that any variable ORed with 1 equals 1,...

18. 1.3.3

    Idempotent Laws

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    The Idempotent Laws in Boolean Algebra state that A + A = A and A ∙ A = A.

19. 1.3.4

    Complement Laws

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    Complement laws in Boolean algebra define the relationship between variables...

20. 1.3.5

    Commutative Laws

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    The Commutative Laws in Boolean Algebra state that the order of the operands...

21. 1.3.6

    Associative Laws

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    The Associative Laws in Boolean Algebra describe how logical operations can...

22. 1.3.7

    Distributive Laws

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    The Distributive Laws in Boolean algebra allow for the expansion of...

23. 1.4

    Duality Principle

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24. 1.5

    De Morgan’s Theorems

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25. 1.6

    Canonical Forms

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26. 1.6.1

    Sum Of Products (Sop)

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    The Sum of Products (SOP) is a canonical form in Boolean algebra where a...

27. 1.6.2

    Product Of Sums (Pos)

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    The Product of Sums (POS) is a standard form of Boolean expressions where...

28. 1.6.3

    Minterms And Maxterms

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    This section introduces minterms and maxterms, foundational concepts in...

29. 1.7

    Boolean Function Minimization

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30. 1.7.1

    Algebraic Method

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    The Algebraic Method is used to simplify Boolean functions through the...

31. 1.7.2

    Karnaugh Map (K-Map) Method

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    The Karnaugh Map is a visual tool used for simplifying Boolean functions...

32. 1.8

    Logic Gates

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33. 1.8.1

    Basic Gates

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    This section introduces the concept of basic gates in digital electronics,...

34. 1.8.2

    Universal Gates

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    Universal gates, specifically NAND and NOR, are essential components in...

35. 1.8.3

    Exclusive Gates

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    This section introduces exclusive gates, including the XOR and XNOR gates,...

36. 1.9

    Applications Of Boolean Algebra

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