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ICSE Class 12 Computer Science – Chapter 1: Boolean

ICSE Class 12 Computer Science – Chapter 1: Boolean

36 sections

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  1. 1
    Boolean Algebra

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

  2. 1.1
    What Is Boolean Algebra?

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

  3. 1.2
    Basic Boolean Operators

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

  4. 1.3
    Laws Of Boolean Algebra

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

  5. 1.4
    Duality Principle

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

  6. 1.5
    De Morgan’s Theorems

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

  7. 1.6
    Canonical Forms

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

  8. 1.7
    Boolean Function Minimization

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

  9. 1.8

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

  10. 1.9
    Applications Of Boolean Algebra

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

  11. 1.2
    Basic Boolean Operators
  12. 1.2.1
    And Operation

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

  13. 1.2.2
    Or Operation

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

  14. 1.2.3
    Not Operation

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

  15. 1.3
    Laws Of Boolean Algebra
  16. 1.3.1
    Identity Laws

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

  17. 1.3.2

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

  18. 1.3.3
    Idempotent Laws

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

  19. 1.3.4
    Complement Laws

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

  20. 1.3.5
    Commutative Laws

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

  21. 1.3.6
    Associative Laws

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

  22. 1.3.7
    Distributive Laws

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

  23. 1.4
    Duality Principle
  24. 1.5
    De Morgan’s Theorems
  25. 1.6
    Canonical Forms
  26. 1.6.1
    Sum Of Products (Sop)

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

  27. 1.6.2
    Product Of Sums (Pos)

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

  28. 1.6.3
    Minterms And Maxterms

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

  29. 1.7
    Boolean Function Minimization
  30. 1.7.1
    Algebraic Method

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

  31. 1.7.2
    Karnaugh Map (K-Map) Method

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

  32. 1.8
    Logic Gates
  33. 1.8.1

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

  34. 1.8.2
    Universal Gates

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

  35. 1.8.3
    Exclusive Gates

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

  36. 1.9
    Applications Of Boolean Algebra

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