Tag: boolean algebra

Person who use boolean algebra for describing the operation of logic gates first was Claude Shannon. 

In binary number system only $0$'s and $1$'s are used to built the whole number system.
Hence,
$0 = 0$
$1 = 1$
Start back at $0$ again, but add $1$ on the left,
$2 = 10$
$3 = 11$
Start back at $0$ again, and add one to the number on the left, but that number is already at $1$, so it also goes back to $0$ and $1$ is added to the next position on the left. Hence,
$4 = 100$ .... and so on.

Boolean algebra is essentially based on logic. It is also known as logical algebra.

The Boolean algebra uses binary number system i.e. two digits $0$ and $1$.

$\bar 1 + \bar 1 = 0 + 0 = 0$

When $A = 1,$ then $A + \bar{A} = 1 + 0 =1$
and when $A = 0$, then $A + \bar{A} = 0 + 1 = 1$

$(1000) _2 = 0 \times  2^0 + 0 \times 2^1 + 0 \times 2^2 + 1 \times  2^3 = 8$

Boolean algebra is based on logic.