# AND Operation | Logical AND Operation

This operation is also a very important in logical operation in digital electronics. In other words

Lastly when both A&B = 1 the output is 1. Thus we can find the difference of it from Boolean OR operation. Here 1 is received as output only when both the inputs are 1. When either of the input is 0 the output for Boolean AND operation is 0. Again this phenomenon can be under stand by simple switch circuit. To understand this Boolean operation let concentrate on fig. 2.

In the above figure two switches are connected in series i.e one by one. Now see if both the switches are opened no signal will be received in the output. i.e if S1 = 0 and S2 = 0 the output is also 0. Now make either of the input 1. When S1 = 1, S2 = 0 and when S2 = 1, S1 = 0. In both the cases one switch is closed but other is opened, thus no output signal is received. Output signal is received only when both the switches are closed i.e when s1 and s2 both are 1. Thus you can understand how

In

**Logical AND operation**is also known as**Boolean AND operation**.**AND operation**is different from OR operation. Like Logical OR operation this is also very useful in digital circuits and arithmetical solves. There are several I.Cs where the concept of**Logical AND operation**is used. Again to understand these types of operation we have to go through the truth table. In**Boolean AND operation**the sign used is (.). Here also we have two inputs and a single output. Now let us follow the truth table of**AND operation**. Here the outputs are quite different from OR operation. Traverse the table row by row. Firstly the inputs are A = 0 and B = 0 for which after logical AND operation the output is Y = 0. Again traverse to the next row, here the inputs are A = 0 and B = 1. The respective output is 0. Now the inputs are A = 1 and B = 0 and the output after**AND operation**is also 0.INPUT | OUTPUT | |

A | B | Y = A.B |

0 | 0 | 0 |

0 | 1 | 0 |

1 | 0 | 0 |

1 | 1 | 1 |

In the above figure two switches are connected in series i.e one by one. Now see if both the switches are opened no signal will be received in the output. i.e if S1 = 0 and S2 = 0 the output is also 0. Now make either of the input 1. When S1 = 1, S2 = 0 and when S2 = 1, S1 = 0. In both the cases one switch is closed but other is opened, thus no output signal is received. Output signal is received only when both the switches are closed i.e when s1 and s2 both are 1. Thus you can understand how

**Logical AND operation**or Boolean AND operation works.## Complement Logic

INPUT | OUTPUT |

A | A’ |

0 | 1 |

1 | 0 |

**Complement Logic**on logic is enough. Here if the input is 1 the output will be 0 and if the input is 0 the output is 1. Thus you can say that it is totally different from**AND operation**and OR operation. The Complement Logic can be better understandable to you from the truth table given beside. Here the sign is ('). In logical complimentation as you can see that for the input 1 the respective output is 0 and vice versa. This operation phenomenon is also available in I.Cs which has a wide range of implementation in our real life.**Comments/Feedbacks**

Closely Related Articles OR Operation | Logical OR OperationLogical OR GateLogical AND GateNOT GateUniversal Gate | NAND and NOR Gate as Universal GateNAND GateDiode and Transistor NAND Gate or DTL NAND Gate and NAND Gate ICsX OR Gate and X NOR GateTransistor Transistor Logic or TTLNOR GateFan out of Logic GatesINHIBIT GateNMOS Logic and PMOS LogicSchmitt GatesLogic Families Significance and Types of Logic FamiliesMore Related Articles Digital ElectronicsBoolean Algebra Theorems and Laws of Boolean AlgebraDe Morgan Theorem and Demorgans LawsTruth Tables for Digital LogicBinary Arithmetic Binary AdditionBinary SubtractionSimplifying Boolean Expression using K MapBinary DivisionExcess 3 Code Addition and SubtractionK Map or Karnaugh MapSwitching Algebra or Boolean AlgebraBinary MultiplicationParallel SubtractorBinary Adder Half and Full AdderBinary SubstractorSeven Segment DisplayBinary to Gray Code Converter and Grey to Binary Code ConverterBinary to BCD Code ConverterAnalog to Digital ConverterDigital Encoder or Binary EncoderBinary DecoderBasic Digital CounterDigital ComparatorBCD to Seven Segment DecoderParallel AdderParallel Adder or SubtractorMultiplexerDemultiplexer555 Timer and 555 Timer WorkingLook Ahead Carry AdderBinary Number System | Binary to Decimal and Decimal to Binary ConversionBinary to Decimal and Decimal to Binary ConversionBCD or Binary Coded Decimal | BCD Conversion Addition SubtractionBinary to Octal and Octal to Binary ConversionOctal to Decimal and Decimal to Octal ConversionBinary to Hexadecimal and Hex to Binary ConversionHexadecimal to Decimal and Decimal to Hexadecimal ConversionGray Code | Binary to Gray Code and that to Binary ConversionOctal Number SystemDigital Logic Gates2′s Complement1′s ComplementASCII CodeHamming Code2s Complement ArithmeticError Detection and Correction Codes9s complement and 10s complement | SubtractionSome Common Applications of Logic GatesKeyboard EncoderAlphanumeric codes | ASCII code | EBCDIC code | UNICODELatches and Flip FlopsS R Flip Flop S R LatchActive Low S R Latch and Flip FlopGated S R Latches or Clocked S R Flip FlopsD Flip Flop or D LatchJ K Flip FlopMaster Slave Flip FlopRead Only Memory | ROMProgrammable Logic DevicesProgrammable Array LogicApplication of Flip FlopsShift RegistersBuffer Register and Controlled Buffer RegisterData Transfer in Shift RegistersSerial In Serial Out (SISO) Shift RegisterSerial in Parallel Out (SIPO) Shift RegisterParallel in Serial Out (PISO) Shift RegisterParallel in Parallel Out (PIPO) Shift RegisterUniversal Shift RegistersBidirectional Shift RegisterDynamic Shift RegisterApplications of Shift RegistersUninterruptible Power Supply | UPSConversion of Flip FlopsJohnson CounterSequence GeneratorRing CounterNew Articles Principle of Water Content Test of Insulating OilCollecting Oil Sample from Oil Immersed Electrical EquipmentCauses of Insulating Oil DeteriorationAcidity Test of Transformer Insulating OilMagnetic Flux