Boolean Algebra - MADE EASY Study Material for GATE, ESE and SES Exams

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What is Boolean algebra?

The binary operations performed by any digital circuit with the set of elements 0 and 1 are called logical operations

The most important technological invention of modern times is the “microprocessor”. A microprocessor is a multiple purpose programmable clock driven,

A digital counter is a set of flip-flops whose states change in response to the pulses applied at the input

Multiplexing means sharing. A digital multiplexer (MUX) is a combinational circuit that accepts several data inputs and allows only one

The availability of a large variety of codes for the same discrete elements of information results in the use of

Half Adder The half adder is an arithmetic circuit used to perform the addition of two single bits. The two

A combinational circuit consists of an interconnection of logic gates, whose outputs at any instant of time are determined from

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An EX-NOR gate is an EX-OR gate followed by NOT gate. The basic EX-NOR gate is a two-input and one

A basic EX-OR gate is a two input single output logic gate, whose output is assumed to be HIGH only

A NOR gate is a combination of OR gate and NOT gate. So we can say it is a NOT-OR

The NAND gate and NOR gate are called Universal gates because they can perform all the three basic functions of

The NOT Gate The NOT gate has a single input variable and a single output variable. The NOT operation is

Logic gates are the based building blocks of any digital system. They are usually constructed in LSI and VLSI circuits

The “Karnaugh map” is a graphical method which provides a systematic method for simplifying and manipulating the Boolean expressions or

De Morgan’s Theorem These are very useful in simplifying expressions in which a product or sum of variables is inverted.

The Boolean algebra is governed by certain well developed rules and laws. Commutative Lawswell-developed The commutative law allows change in