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Maths Project

The document introduces Avinesh Padayachi's project on creating truth tables for logical connectives using HTML. It explains five logical connectives: Negation, AND, OR, Implication, and Biconditional, detailing their definitions and truth values. The document includes HTML code for generating truth tables for each connective.

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0% found this document useful (0 votes)
3 views12 pages

Maths Project

The document introduces Avinesh Padayachi's project on creating truth tables for logical connectives using HTML. It explains five logical connectives: Negation, AND, OR, Implication, and Biconditional, detailing their definitions and truth values. The document includes HTML code for generating truth tables for each connective.

Uploaded by

SMARTY
Copyright
© © All Rights Reserved
We take content rights seriously. If you suspect this is your content, claim it here.
Available Formats
Download as DOCX, PDF, TXT or read online on Scribd
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INTRODUCTION

NAME :- AVINESH PADAYACHI


CLASS :- FYIT DIV :- B
ROLL NO :- 2538
TOPIC :- Creating Truth Table of Logical
Connectives By Using HTML
Discription :-
A Logical Connective is a symbol which is used to connect two or more
propositional or predicate logics in such a manner that resultant logic
depends only on the input logics and the meaning of the connective used.
Generally there are five connectives which are −
OR (∨)
AND (∧)


 Negation/ NOT (¬)

If and only if (⇔).


 Implication / if-then (→)

Negation (¬) – The negation of a proposition p (written as ¬ p) is false


when p is true and is true when p is false.

AND (∧) – The AND operation of two propositions p and q (written as p∧q) is true if both the
propositional variable p and q is true.
OR (∨) − The OR operation of two propositions p and q (written as p ∨ q) is true if
at least any of the propositional variable p or q is true.
if-then (→) − An implication p → q is the proposition “if p, then q”. It is false if p is
true and q is false. The rest cases are true.
If and only if (⇔) – p ⇔ q is bi-conditional logical connective which is true when p
and q are same, i.e. both are false or both are true.

PROGRAM :-
[1] Negation/Not (~)
<!DOCTYPE html>

<html>

<head>

<title>table</title>

<style>

table{

border-collapse: collapse;

width: 100%;

th,td{

border: 2px solid green;

padding: 15px;

</style>

</head>

<body>

<table>

<tr>

<th>P</th>

<th>~P</th>

</tr>

<tr>

<td style="text-align:center">T</td>

<td style="text-align:center">F</td>

</tr>

<tr>
<td style="text-align:center">F</td>

<td style="text-align:center">T</td>

</tr>

</table>

</body>

</html>

OUTPUT :-

[2] Conjunction/And (∧)


<!DOCTYPE html>
<html>

<head>

<title>table</title>

<style>

table{

border-collapse: collapse;

width: 100%;

th,td{

border: 2px solid green;

padding: 15px;

</style>

</head>

<body>

<table>

<tr>

<th>p</th>

<th>q</th>

<th>p∧q</th>

</tr>

<tr>

<td style="text-align:center">T</td>

<td style="text-align:center">T</td>

<td style="text-align:center">T</td>

</tr>

<tr>

<td style="text-align:center">T</td>
<td style="text-align:center">F</td>

<td style="text-align:center">F</td>

</tr>

<tr>

<td style="text-align:center">F</td>

<td style="text-align:center">T</td>

<td style="text-align:center">F</td>

</tr>

<tr>

<td style="text-align:center">F</td>

<td style="text-align:center">F</td>

<td style="text-align:center">F</td>

</tr>

</table> </body> </html>

OUTPUT :-

[3] Disjunction/OR (V)


<!DOCTYPE html>
<html>

<head>

<title>table</title>

<style>

Table{

Border-collapse: collapse;

Width: 100%;

Th,td{

Border: 2px solid green;

Padding: 15px;

</style>

</head>

<body>

<table>

<tr>

<th>p</th>

<th>q</th>

<th>pVq</th>

</tr>

<tr>

<td style=”text-align:center”>T</td>

<td style=”text-align:center”>T</td>

<td style=”text-align:center”>T</td>

</tr>

<tr>

<td style=”text-align:center”>T</td>
<td style=”text-align:center”>F</td>

<td style=”text-align:center”>T</td>

</tr>

<tr>

<td style=”text-align:center”>F</td>

<td style=”text-align:center”>T</td>

<td style=”text-align:center”>T</td>

</tr>

<tr>

<td style=”text-align:center”>F</td>

<td style=”text-align:center”>F</td>

<td style=”text-align:center”>F</td>

</tr>

</table> </body> </html>

OUTPUT :-

[4] Conditional/if then (→)


<!DOCTYPE html>
<html>

<head>

<title>table</title>

<style>

Table{

Border-collapse: collapse;

Width: 100%;

Th,td{

Border: 2px solid green;

Padding: 15px;

</style>

</head>

<body>

<table>

<tr>

<th>p</th>

<th>q</th>

<th>p→q</th>

</tr>

<tr>

<td style=”text-align:center”>T</td>

<td style=”text-align:center”>T</td>

<td style=”text-align:center”>T</td>

</tr>

<tr>

<td style=”text-align:center”>T</td>

<td style=”text-align:center”>F</td>
<td style=”text-align:center”>F</td>

</tr>

<tr>

<td style=”text-align:center”>F</td>

<td style=”text-align:center”>T</td>

<td style=”text-align:center”>T</td>

</tr>

<tr>

<td style=”text-align:center”>F</td>

<td style=”text-align:center”>F</td>

<td style=”text-align:center”>T</td>

</tr> </table> </body> </html>

OUTPUT :-

[5] Biconditional/if and only if (⇔)


<!DOCTYPE html>
<html>

<head>

<title>table</title>

<style>

Table{

Border-collapse: collapse;

Width: 100%;

Th,td{

Border: 2px solid green;

Padding: 15px;

</style>

</head>

<body>

<table>

<tr>

<th>p</th>

<th>q</th>

<th>p⇔q</th>

</tr>

<tr>

<td style=”text-align:center”>T</td>

<td style=”text-align:center”>T</td>

<td style=”text-align:center”>T</td>

</tr>

<tr>

<td style=”text-align:center”>T</td>

<td style=”text-align:center”>F</td>
<td style=”text-align:center”>F</td>

</tr>

<tr>

<td style=”text-align:center”>F</td>

<td style=”text-align:center”>T</td>

<td style=”text-align:center”>F</td>

</tr>

<tr>

<td style=”text-align:center”>F</td>

<td style=”text-align:center”>F</td>

<td style=”text-align:center”>T</td>

</tr> </table> </body> </html>

OUTPUT :-

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