A British Mathematician George Boole introduced algebra of binary numbers in 1854. This is known as Boolean algebra. Boolean algebra is used in designing of logical circuits inside the computer. These circuits perform different types of logical operations. Thus Boolean algebra is also known as logical algebra or switching algebra.

The mathematical expressions of Boolean algebra are called Boolean expression. Boolean algebra describes the Boolean expression used in logical circuits. The Boolean expressions are simplified by means of basic theorems. The expressions that describe the logical circuits are also simplified by using Boolean algebra.

Boolean algebra differs from ordinary algebra in the different ways. Boolean algebra deals with binary numbers (0 and 1) while ordinary algebra deals with real numbers. Boolean algebra has only two basic operations cross, dot and complement operator. There are no subtraction and division. Ordinary algebra performs all arithmetic operations such as plus, minus, multiplication, division, subtraction etc. ordinary algebra does not have complement operation. Distributed law of Boolean algebra (a + (b . c) = (a + b). (a + c)) does not hold good in ordinary algebra. Boolean algebra perform only two basic operations which are called Boolean operators.

The mathematical expressions of Boolean algebra are called Boolean expression. Boolean algebra describes the Boolean expression used in logical circuits. The Boolean expressions are simplified by means of basic theorems. The expressions that describe the logical circuits are also simplified by using Boolean algebra.

Boolean algebra differs from ordinary algebra in the different ways. Boolean algebra deals with binary numbers (0 and 1) while ordinary algebra deals with real numbers. Boolean algebra has only two basic operations cross, dot and complement operator. There are no subtraction and division. Ordinary algebra performs all arithmetic operations such as plus, minus, multiplication, division, subtraction etc. ordinary algebra does not have complement operation. Distributed law of Boolean algebra (a + (b . c) = (a + b). (a + c)) does not hold good in ordinary algebra. Boolean algebra perform only two basic operations which are called Boolean operators.