AND gate - Wikipedia

The AND gate is a basic digital logic gate that implements logical conjunction (∧) from mathematical logic – AND gate behaves according to the truth table ... ANDgate FromWikipedia,thefreeencyclopedia Jumptonavigation Jumptosearch Digitallogicgatetype Input Output A B AANDB 0 0 0 0 1 0 1 0 0 1 1 1 TheANDgateisabasicdigitallogicgatethatimplementslogicalconjunction(∧)frommathematicallogic –ANDgatebehavesaccordingtothetruthtableabove.AHIGHoutput(1)resultsonlyifalltheinputstotheANDgateareHIGH(1).IfnotallinputstotheANDgateareHIGH,LOWoutputresults.Thefunctioncanbeextendedtoanynumberofinputs. Contents 1Symbols 2Implementations 2.1Analyticalrepresentation 2.2Alternatives 3Seealso 4References Symbols[edit] TherearethreesymbolsforANDgates:theAmerican(ANSIor'military')symbolandtheIEC('European'or'rectangular')symbol,aswellasthedeprecatedDINsymbol.Additionalinputscanbeaddedasneeded.FormoreinformationseeLogicGateSymbols.Itcanalsobedenotedassymbol"^"or"&". MIL/ANSIsymbol IECsymbol DINsymbol TheANDgatewithinputsAandBandoutputCimplementsthelogicalexpression C = A ⋅ B {\displaystyleC=A\cdotB} .Thisexpressionalsomaybedenotedas C = A ∧ B {\displaystyleC=A\wedgeB} or C = A & B {\displaystyleC=A\AndB} . Implementations[edit] ANDgateusingdiodes ANDgateusingtransistors NMOSANDgate AnANDgatecanbedesignedusingonlyN-channel(pictured)orP-channelMOSFETs,butisusuallyimplementedwithboth(CMOS).ThedigitalinputsaandbcausetheoutputFtohavethesameresultastheANDfunction.ANDgatesmaybemadefromdiscretecomponentsandarereadilyavailableasintegratedcircuitsinseveraldifferentlogicfamilies. Analyticalrepresentation[edit] f ( a , b ) = a ∗ b {\displaystylef(a,b)=a*b} istheanalyticalrepresentationofANDgate: f ( 0 , 0 ) = 0 ∗ 0 = 0 {\displaystylef(0,0)=0*0=0} f ( 0 , 1 ) = 0 ∗ 1 = 0 {\displaystylef(0,1)=0*1=0} f ( 1 , 0 ) = 1 ∗ 0 = 0 {\displaystylef(1,0)=1*0=0} f ( 1 , 1 ) = 1 ∗ 1 = 1 {\displaystylef(1,1)=1*1=1} Alternatives[edit] Furtherinformation:NANDlogicandNORlogic IfnospecificANDgatesareavailable,onecanbemadefromNANDorNORgates,becauseNANDandNORgatesare"universalgates"[1]meaningthattheycanbeusedtomakealltheothers. Desiredgate NANDconstruction NORconstruction Seealso[edit] WikimediaCommonshasmediarelatedtoANDgates. ORgate NOTgate NANDgate NORgate XORgate XNORgate IMPLYgate Booleanalgebra Logicgate References[edit] ^ Mano,M.MorrisandCharlesR.Kime.LogicandComputerDesignFundamentals,ThirdEdition.Prentice-Hall,2004.p.73. vteLogicalconnectives Tautology/True  ⊤ {\displaystyle\top} Alternativedenial (NANDgate)  ↑ {\displaystyle\uparrow} Converseimplication  ← {\displaystyle\leftarrow} Implication (IMPLYgate)  → {\displaystyle\rightarrow} Disjunction (ORgate)  ∨ {\displaystyle\lor} Negation (NOTgate)  ¬ {\displaystyle\neg} Exclusiveor (XORgate)  ↮ {\displaystyle\not\leftrightarrow} Biconditional (XNORgate)  ↔ {\displaystyle\leftrightarrow} Statement (Digitalbuffer) Jointdenial (NORgate)  ↓ {\displaystyle\downarrow} Nonimplication (NIMPLYgate)  ↛ {\displaystyle\nrightarrow} Conversenonimplication  ↚ {\displaystyle\nleftarrow} Conjunction (ANDgate)  ∧ {\displaystyle\land} Contradiction/False  ⊥ {\displaystyle\bot}  Philosophyportal Retrievedfrom"https://en.wikipedia.org/w/index.php?title=AND_gate&oldid=1096461587" Categories:LogicgatesHiddencategories:ArticleswithshortdescriptionShortdescriptionisdifferentfromWikidataCommonscategorylinkisonWikidataPagesthatuseadeprecatedformatofthemathtags Navigationmenu Personaltools NotloggedinTalkContributionsCreateaccountLogin Namespaces ArticleTalk English Views ReadEditViewhistory More Search Navigation MainpageContentsCurrenteventsRandomarticleAboutWikipediaContactusDonate Contribute HelpLearntoeditCommunityportalRecentchangesUploadfile Tools WhatlinkshereRelatedchangesUploadfileSpecialpagesPermanentlinkPageinformationCitethispageWikidataitem Print/export DownloadasPDFPrintableversion Inotherprojects WikimediaCommons Languages አማርኛالعربيةAzərbaycancaবাংলাCatalàČeštinaDeutschEestiEspañolEuskaraفارسیFrançais한국어हिन्दीHrvatskiItalianoLatinaLombardМакедонскиമലയാളംNederlands日本語ਪੰਜਾਬੀپنجابیPortuguêsRomânăSimpleEnglishSlovenčinaSlovenščinaСрпски/srpskiSuomiதமிழ்TürkçeУкраїнськаTiếngViệt粵語中文 Editlinks