The Biconditional statement
If two simple statements p and q are connected by the connective 'if and only if', then the resulting compound statement is called the biconditional statement. Symbolically it is represented by p q. Example: An integer is even if and only if it is divisibl..
If two simple statements p and q are connected by the connective 'if and only if', then the resulting compound statement is called the biconditional statement. Symbolically it is represented by p q. Example: An integer is even if and only if it is divisibl..Conditional and Biconditional Statements
It is already mentioned in earlier classes that compound statements of different propositions can be obtained by conjunction, disjunction and negation of propositions. We just recall these three basic logical connectivities and their truth table and subsequently we sha..
Compound statements and Truth table
Truth Tables - A table is indicating the truth values of one or more statements is called a truth table..
Truth Tables
A table is indicating the truth values of one or more statements is called a truth table..
Conditional and Biconditional Statements (Contd...)
If two simple statements p and q are connected by the connective 'if and only if', then the resulting compound statement is called the biconditional statement..
Truth value of a statement
Truth value is the truthfulness of statement. If a statement is true its truth value is T, if a statement is false then its truth value is F. In the above examples, truth values are (i) F (ii) T (iii)..
Proposition or statement and Truth Value of a statement
Proposition or statement and Truth Value of a statement - A declarative sentence which is true or false but not both is called a propositi..
The truth table of OR gate
A B C 0 0 0 0 1 1 1 0 1 1 1 1 ..
The Conditional Statements
If p and q are two propositions, then the compound proposition, "if p then q" is known as conditional statement or implication. It is denoted by p q. p is called the antecedent (or hypothesis). q is called the consequent (or conclusion). Note: p q can be read as (i) If p then q (ii) ..
If p and q are two propositions, then the compound proposition, "if p then q" is known as conditional statement or implication. It is denoted by p q. p is called the antecedent (or hypothesis). q is called the consequent (or conclusion). Note: p q can be read as (i) If p then q (ii) .. Result
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