Chapter 1 Flashcards
What is Boolean Algebra
It is an algebra where variables are either True or False. It is a combination of mathematics and logic
Features of Boolean Algebra
- Value of variable either true or false
- Has only 3 operations (+) (*) (‘)
- Supports principle of duality
Truth table
When values of all variables of input along with output in a Boolean function is represented in a form of tabil
What is a Boolean function
When Boolean Variables are connected with Boolean operations
Associative law
i. a+(b+c) =(a+b) +c
ii. a.(b.c) =(a.b).c
Commutative law
i. (a+b) =(b+a)
ii. a.b=b.a
Distributive Law
i. a.(b+c) =ab+ac
ii. a+bc=(a+b) (a+c)
Complement law
a+a’=1
a.a’=0
Identity law
a+0=a
a.1=a
Demorgan’s law
(a+b)’=a’.b’
(a.b) ‘=a’+b’
Boundness law
a+1=1
a.0=0
Idempotent law
a+a=a
a.a = a
Absorption law
a.(a+b) = a
a+ab=a
Involution law
(a’)’=a
What is a Literal
The Boolean variables in a Boolean functions, which are in true or complemented form