De Morgans law

Previously we have discussed about multiplying polynomials worksheet and In today's session we are going to discuss about Law of De Morgans which is a part of maharashtra higher secondary board syllabus, It interchanges an equation form to its negation form. Here negation means its opposite form. The law provides some rules that are known as transformation rules because it transforms an equation form to its negation form. By De Morgans law, we can relate conjuction and disjunction in terms of each other.
In simple english, Applying negation on the conjuction form of an equation gives us the disjunction of its negations. In other words, Applying negation on a disjunction form of an equation gives us the conjuction of its negations.

In logical language form,De Morgans law can be expressed as,
( A á´§ B ) ' = ( A ) ' á´  ( B )'
( A á´  B ) ' = ( A ) ' á´§ ( B )'

here ' stands for the negation of the expression.
á´§ stands for the conjuction of two expressions.
á´  stands for disjunction of two expressions.
= sign stands for equality,i.e we can replace one form to another form
The law has many forms.i.e, we can define the law in many ways.

This law has the same meaning in set (Data Set Example) theory.

The substitution form of this law is as follows ,

X . Y = ( X' + Y ' )'
X + Y = ( X' . Y ')'
. stands for conjuction and + stand for Disjunction .
' stand for the negation .

This law also holds for the functional forms as,
if we have two functional operator X and Y, then

X AND Y = NOT ( ( NOT X ) OR ( NOT B )
X OR B = NOT ( ( NOT X ) AND ( NOT Y ) )

AND operator stands for the conjuction and OR operator stands for the disjunction .(Know more about De Morgans law in broad manner, here,)
NOT operator stands for the negation.
In the next session we are going to discuss Distributive law and prepositions
and Read more maths topics of different grades such as Geometric Shape Attributes in the upcoming sessions here.