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- by Ashok Shah 7 months ago

The algebra of logic, which deals with the study of

It was introduced by an English mathematician and logician George Boole. In Boolean algebra, variables are allowed to have only two values;

Examples; A, B, X, Y are generally used as Boolean Variables.

The two logical values which represent either “True” or “False” values in Boolean algebra are called Boolean values. They are the possible values of Boolean Variables. "True" and "False" are the only Boolean Values which also be represented in following ways:

True ⇒ 1/ ON/ Yes/ High

False⇒ 0/OFF/ No/ Low

Generally, 1 and 0 are used as Boolean Values

[There is no hard and fast rule for choosing the Boolean Values.]

True ⇒ 1/ ON/ Yes/ High

False⇒ 0/OFF/ No/ Low

Generally, 1 and 0 are used as Boolean Values

[There is no hard and fast rule for choosing the Boolean Values.]

A statement/string which uses Boolean operators that represents logical variables and logical operations evaluated to give a logical value is called Boolean expression.

Example; AB +AB', A' + B , X+X'Y# Boolean Operators

The special symbols which indicates the operation to be carried out between two (set of)result are called Boolean Operators. There are three basic Boolean Operations:

1.**AND** Operation → denoted by __dot__ ( **.** )

2.**OR** Operation → denoted by __plus__ ( **+** )

3.**NOT** Operation → denoted by __prime__ ( **'** )

**# Logic Gates**

A logic gate is an electronic circuit that operates on one or more input signals to produce an output signal. It is the basic component of a digital computer and is used for binary operation. The manipulation of Binary information is done by logic gate. It is the basic building block of computer and other digital devices. It is embodied in the Integrated Circuit (IC).

The special symbols which indicates the operation to be carried out between two (set of)result are called Boolean Operators. There are three basic Boolean Operations:

1.

2.

3.

A logic gate is an electronic circuit that operates on one or more input signals to produce an output signal. It is the basic component of a digital computer and is used for binary operation. The manipulation of Binary information is done by logic gate. It is the basic building block of computer and other digital devices. It is embodied in the Integrated Circuit (IC).

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