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 divisible by 2. It is a biconditi..
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 divisible by 2. It is a biconditi..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..
Truth Tables
A table is indicating the truth values of one or more statements is called a truth table..
Compound statements and Truth table
If two or more statements are combined by the use of words like 'AND', 'OR', 'IF AND ONLY IF ', then the resulting statement is called a compound statement. A table is indicating the truth values of one or more statements is called a truth table..
Table 2 - Truth table for p and q
The 'AND' operation can be defined on the set of bits {0, 1} as follows 1 . 1 = 1, 1 . 0 = 0, 0.1 = 0, 0.0 =..
The 'AND' operation can be defined on the set of bits {0, 1} as follows 1 . 1 = 1, 1 . 0 = 0, 0.1 = 0, 0.0 =..Amongst a group of patients who complained of severe body pain, some w..
Amongst a group of patients who complained of severe body pain, some were given a new analgesic on trial and some were given a placebo. They were later asked whether the pain relievers were effective. The results were presented in the following table. Pain relieved Pain continues Took analgesi..
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...
Step 1:
Construct the truth table for truth values of all the hypotheses and the conclusio..
Logical 'NOT' Operation
This operation has one input and one output. Table 7 represents truth table for NOT operati..
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 stateme..
See what our Users say :
Tutors are very patient to explain me the same problem again and again until i understand...Really helpful...Thank you all...
Getting Home work help from online everyday helping me a lot to understand my math much better...
Math is no more a problem at all for me, an hour tutoring everyday with an online tutor is helping me to get good grades
I am Jessica from New York, I got excellent English tutors from Tutor Vista, who helped me lot to overcome my grammar mistakes, Thanks a lot...
Looking for More Help!
