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**Unit-IV**

**Boolean Algebra**

**Boolean Algebra ** **Chapter: 08**

**Truth table:**

Truth table is a table, which represents all the possible values of logical variables/statements along with all the possible results of given combinations of values.

**Logical Operators:**

Logical operators are derived from the Boolean algebra, which is the mathematical

representation of the concepts without going into the meaning of the concepts.

**1.NOT Operator—**Operates on single variable. It gives the complement value of variable.

**2.OR Operator -**It is a binary operator and denotes logical Addition operation and is represented by ”+” symbol

**3. AND Operator –** AND Operator performs logical multiplications and symbol is (.) dot.

Truth table:

**Basic Logic Gates**

A gate is simply an electronic circuit, which operates on one or more signals to produce an output signal. Gates are digital circuits because the input and output signals are either low (0) or high (1). Gates also called logic circuits.

There are three types of logic gates:

1. Inverter (NOT gate)

2. OR gate

3. AND gate

**1. NOT gate** :This gate takes one input and gives a single output. The symbol of this logic gate is

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