Boolean Laws Flashcards
1
Q
Distributive
A
x.(y+z)= x.y+x.z
x+y.z= (x+y).(x+z)
2
Q
Absorption
A
x.(x+y)=x
x+(x.y)=x
3
Q
De’Morgan
A
(x+y)’=x’.y’
(x.y)’=x’+y’
4
Q
Communicative
A
y+x=x+y
x.y=y.x
5
Q
Dominant
A
x+1=1
x.0=0
6
Q
Associative
A
x+(y+z)=(x+y)+z
x.(y.z)=(x.y).z
7
Q
Identity
A
x+0=x
x.1=x
8
Q
Involution
A
(x’)’=x
9
Q
Complement
A
x+x’=1
x.x’=0
10
Q
Idempotent
A
x+x=x
x.x=x
