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Discrete Structures
Divisors Prime Numbers Fundamental Theorem of Arithmetic Division Algorithm Greatest common divisors Least Common Multiple
Divisors Prime Numbers Fundamental Theorem of Arithmetic Division Algorithm Greatest common divisors Least Common Multiple
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ds-lecture-9.ppt (0.32 MB )
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Course Material
Introduction to the Course ,Propositions, Logical Connectives, Compound propositions ,Translating English to logic and logic to English,
Logical Equivalences. De Morgan’s laws. Tautologies and Contradictions. Laws of Logic. Conditional propositions.
Conditional Propositions. Negation, Inverse and Converse of the conditional statements. Contra positive . Bi conditional statements.
Basic Logic gates Circuits using logic gates Circuits corresponding to Logical Expressions Reductions of circuits
Circuits using logic gates Boolean Algebra Adders (Half and Full)
Predicates Set Notation Universal and Existential Statement Translating between formal and informal language Universal conditional Statements
Statements containing “∀ ” and “∃” Nested Quantifiers Relations Universal Instantiation statement Universal Modus Ponens Universal Modus Tollens
Nested Quantifiers Relations Universal Instantiation statement Universal Modus Ponens Universal Modus Tollens Quantified form of Converse and Inverse error
Divisors Prime Numbers Fundamental Theorem of Arithmetic Division Algorithm Greatest common divisors Least Common Multiple
Rational Number Properties of Rational Numbers Irrational numbers Absolute values Triangular inequality Floor and Ceiling functions
Properties of Floor and Ceiling Functions Methods of Proof Direct Proofs
Chapters
11
Department
CS & IT
Teacher
Mr. Nisar Ahmad