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AND | OR |XOR | Conditional | Bi-condtional

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This document is an assignment submission for a Discrete Mathematics course at Daffodil International University. It summarizes key logical operators including AND, OR, XOR, conditional statements, and biconditional statements. Truth tables are provided for each logical operator to demonstrate how they evaluate true or false based on the truth values of input variables.

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DAFFODIL INTERNATIONAL UNIVERSITY Department: Software Engineering Course: Discrete Mathematics ASSIGNMENT Submitted To Nazia Nishat Lecturer Daffodil International University Submitted By Md. Ashiqur Rahman ID:152-35-1264 Section: C Daffodil International University Submission Date:25-October-2016
AND ( )∧ − The AND operation of two propositions is true if both the propositional variable is true. Its a binary variable. Lets say, P: Today is Friday. Q: It’s raining outside. P Q:Today is Friday an it’s raining outside.∧ P Q P Q∧ F F F F T F T F F T T T OR ( )∨ − The OR operation of two propositions A and B (written as A B) is∨ true if at least any of the propositional variable A or B is true. It’s also a binary variable. Lets’s say, A:Today is friday. B:It’s raining outside. A B:Today is Friday or it’s raining outside.∨ A B A B∨ F F F F T T T F T T T T XOR: The XOR operation of two propositions is true if one of the propositional variable is true. Here Both can’t be true. Let’s Say, P:Winner will get a laptop. Q:Winner will get an Iphone. P(+)Q:Winner will get a laptop or an Iphone.
P Q P XOR Q F F F F T T T F T T T F Conditional Statement: Conditional statement is also called as implications. Form of conditional statement is if P then Q. Let’s Say, P:It is raining and Q:We will not play. P→Q: It is raining and we will not play. P Q P->Q F F T F T T T F F T T T Biconditional Statement: A biconditional statement is defined to be true whenever both parts have the same truth value. Let’s Say, P: He attend all classes. Q:He will get bonus mark. P<->Q:He will get bonus mark if and only if he attend all the classes. P Q P<->Q F F T F T F T F F T T T

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AND | OR |XOR | Conditional | Bi-condtional

  • 1. DAFFODIL INTERNATIONAL UNIVERSITY Department: Software Engineering Course: Discrete Mathematics ASSIGNMENT Submitted To Nazia Nishat Lecturer Daffodil International University Submitted By Md. Ashiqur Rahman ID:152-35-1264 Section: C Daffodil International University Submission Date:25-October-2016
  • 2. AND ( )∧ − The AND operation of two propositions is true if both the propositional variable is true. Its a binary variable. Lets say, P: Today is Friday. Q: It’s raining outside. P Q:Today is Friday an it’s raining outside.∧ P Q P Q∧ F F F F T F T F F T T T OR ( )∨ − The OR operation of two propositions A and B (written as A B) is∨ true if at least any of the propositional variable A or B is true. It’s also a binary variable. Lets’s say, A:Today is friday. B:It’s raining outside. A B:Today is Friday or it’s raining outside.∨ A B A B∨ F F F F T T T F T T T T XOR: The XOR operation of two propositions is true if one of the propositional variable is true. Here Both can’t be true. Let’s Say, P:Winner will get a laptop. Q:Winner will get an Iphone. P(+)Q:Winner will get a laptop or an Iphone.
  • 3. P Q P XOR Q F F F F T T T F T T T F Conditional Statement: Conditional statement is also called as implications. Form of conditional statement is if P then Q. Let’s Say, P:It is raining and Q:We will not play. P→Q: It is raining and we will not play. P Q P->Q F F T F T T T F F T T T Biconditional Statement: A biconditional statement is defined to be true whenever both parts have the same truth value. Let’s Say, P: He attend all classes. Q:He will get bonus mark. P<->Q:He will get bonus mark if and only if he attend all the classes. P Q P<->Q F F T F T F T F F T T T