logical equivalence and duality


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Logical Equivalence and Duality
Logical Equivalence and Duality - Two compound propositions p and q are said to be logically equivalent, if their truth values are same for each different combinations of the truth values of the components involved in them. If p and q are logic..
Logical Equivalence and Duality
Two compound propositions p and q are said to be logically equivalent, if their truth values are same for each different combinations of the truth values of the components involved in them. If p and q are logically equivalent, then it is represented by p..
Logical Equivalence and Duality
Two compound propositions p and q are said to be logically equivalent, if their truth values are same for each different combinations of the truth values of the components involved in them. If p and q are logically equivalent, then it is represented by ..
Duality
Two logical equivalences are said to be dual of each other with respect to two connectives if one equivalence can be obtained by the other equivalence, just by interchanging the connective..
Logical Equivalence
Two propositions (simple or compound) are said to be logically equivalent if they have identical truth values. If p is logically equivalent to q, we denote p q. We have already constructed the truth table of (~p) q in earlier class. Recall the same truth t..
Application to Switching Circuits (Contd...)
Other Application Switching Circuits includes Logic Gates, AND Gate, OR Gate, NOT Gate, Combinatorial Circuit, Equivalent Circui..
Example:
x.y' + x.z + y.z' A Boolean expression can be regarded as a Boolean function since it has a unique value, either 0 or 1. The postulates, theorems or Boolean expressions in Boolean algebra hold good when the operation '+' and '.', the symbols '1' and '0' are interchanged, this is called principle ..
Conditional and Biconditional Statements
Logical Equivalence - Two propositions (simple or compound) are said to be logically equivalent if they have identical truth values. If p is logically equivalent to q, we denote p q. We have already constructed the truth table of (~p) q in..
Illustration 2:
The logical equivalences each other w.r.t. connectives ' ' and '..
Algebra of statements
The following are some important logically equivalent propositions. 1. 2. 3. 4. 5. 6. ..
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