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DIGITAL LOGIC AND APPLICATION
BOOLEAN LAWS
Name:siddhesh borade
Roll no:24
Sub: DIGITAL LOGIC AND
APPLICATION
1.Commutative law
2.Associative law
3.Distributive law
4.AND Law
5.OR law
6.Inversion law
COMMUTATIVE LAW
a) Any binary operation Which satisfies the following
expression is referred to as commutative law.
EXPRESSION:- 1. A.B=B.A
2.A+B=B+A
b) Commutative law states that changing the sequence of vari
does not have any effect on the output on a logical circuit.
This law states that The order in which the
logic operations are perform is irrelevant
as they are effect in the same.
EXPRESSION:- 1.(A.B)C=A(B.C)
2.(A+B)+C=A(B+C)
Distributive Law states that the multiplication of two
variables and adding the result with a variable will result in
the same value as multiplication of addition of the variable
with individual variables.
Condition:- A.(B+C)=A.B+A.C
These law is used in AND operation
That for they called AND LAW.
1.A .0 = 0
2.A . 1 = A
3.A. A = A
4.A.A=0
These laws use the OR operation. Therefore they are
called OR laws.
1. A+0=A
2. A+1=1
3. A+A=A
4. A+A=1
This law uses NOT operation. It state that double
inversion of variable results in the original variable.
EXPRESSION:- A=A
THANK YOU

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Name_siddhesh digital logic and application.pptx

  • 1. DIGITAL LOGIC AND APPLICATION BOOLEAN LAWS Name:siddhesh borade Roll no:24 Sub: DIGITAL LOGIC AND APPLICATION
  • 2. 1.Commutative law 2.Associative law 3.Distributive law 4.AND Law 5.OR law 6.Inversion law
  • 3. COMMUTATIVE LAW a) Any binary operation Which satisfies the following expression is referred to as commutative law. EXPRESSION:- 1. A.B=B.A 2.A+B=B+A b) Commutative law states that changing the sequence of vari does not have any effect on the output on a logical circuit.
  • 4. This law states that The order in which the logic operations are perform is irrelevant as they are effect in the same. EXPRESSION:- 1.(A.B)C=A(B.C) 2.(A+B)+C=A(B+C)
  • 5. Distributive Law states that the multiplication of two variables and adding the result with a variable will result in the same value as multiplication of addition of the variable with individual variables. Condition:- A.(B+C)=A.B+A.C
  • 6. These law is used in AND operation That for they called AND LAW. 1.A .0 = 0 2.A . 1 = A 3.A. A = A 4.A.A=0
  • 7. These laws use the OR operation. Therefore they are called OR laws. 1. A+0=A 2. A+1=1 3. A+A=A 4. A+A=1
  • 8. This law uses NOT operation. It state that double inversion of variable results in the original variable. EXPRESSION:- A=A