2 Logical operations

Question 1

Absorptive law
A+(A.B)=
A.(A+B)=
Conditions

Answer 1

A+(A.B)=A
A.(A+B)=A
Operators must be different
Term outside must also be inside(this is what its equal to)

Question 2

Associative law
A+(B+C)=
A(B.C)=

Answer 2

A+(B+C)= (A+B)+C = A+B+C
A(B.C)= (A.B).C = A.B.C

Question 3

Annulment law
A.0=
A+1=

Answer 3

A.0=0
A+1=1

Question 4

Identity law
A+0=
A.1=

Answer 4

A+0=A
A.1=A

Question 5

Idempotent law
A+A=
A.A=

Answer 5

A+A=A
A.A=A

Question 6

Complement law
A.notA=
A+notA=
A double not A

Answer 6

A.notA=0
A+notA=1
A double not A=A

Question 7

Commutative law
A.B=
A+B=

Answer 7

A.B=B.A
A+B=B+A

Question 8

Distributive law

A(B+C)=
A+(B.C)=

Answer 8

A(B+C)=A.B+A.C
A+(B.C)=(A+B).(A+C)