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Compound statements and Truth table
Truth Tables - A table is indicating the truth values of one or more statements is called a truth table..
The truth table of OR gate
A B C 0 0 0 0 1 1 1 0 1 1 1 1 ..
Step 1:
Construct the truth table for truth values of all the hypotheses and the conclusio..
Note:
Suppose a compound proposition is given, we first split it into simple propositions containing a single connective. Using the rules discussed above, we construct the truth table in the form of columns and the last column gives the truth value of the given proposition ..
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 shall learn a..
NAND Gate
or If the output of an AND gate is connected to the input of NOT gate then the logic gate is called NAND gate ..
NOR gate
or If output of OR gate is connected to input of NOT gate, then the logic gate is called NOR gate Truth table ..
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 earlier class. Recall the sam..
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 sam..Summary
- A sentence is a statement if it is either true or false, but not both. - The truth and falsity of a statement is its truth value. - A truth table indicates the truth values of a number of statements and their compound statements in a compact form...
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