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The,,binary,,number,,system,,was,,refined,,by,,Gottfried,,Wilhelm,,Leibniz,,(published,,in,,1705),,and,,he,,also,,established,,that,,by,,using,,the,,binary,,system,,,the,,principles,,of,,arithmetic,,and,,logic,,could,,be,,combined.,,ISBN978-3-540-42176-4.,,Using,this,property,of,electrical,switches,to,implement,logic,is,the,fundamental,concept,that,underlies,all,electronic,digital,computers.,It,,is,,sometimes,,unofficially,,described,,as,,"military",,,reflecting,,its,,origin.,,Both,,the,,bubble,,and,,the,,wedge,,can,,be,,used,,on,,distinctive-shape,,and,,rectangular-shape,,symbols,,on,,circuit,,diagrams,,,depending,,on,,the,,logic,,convention,,used.,,Use,,,of,,,these,,,alternative,,,symbols,,,can,,,make,,,logic,,,circuit,,,diagrams,,,much,,,clearer,,,and,,,help,,,to,,,show,,,accidental,,,connection,,,of,,,an,,,active,,,high,,,output,,,to,,,an,,,active,,,low,,,input,,,or,,,vice,,,versa.,,,Electronic,,logic,,gates,,differ,,significantly,,from,,their,,relay-and-switch,,equivalents.,,Since,,the,,1990s,,,most,,logic,,gates,,are,,made,,in,,CMOS,,technology,,(i.e.,,

Logic,,,circuits,,,include,,,such,,,devices,,,as,,,multiplexers,,,,registers,,,,arithmetic,,,logic,,,units,,,(ALUs),,,,and,,,computer,,,memory,,,,all,,,the,,,way,,,up,,,through,,,complete,,,microprocessors,,,,which,,,may,,,contain,,,more,,,than,,,100,,,million,,,gates.,,,Peirce,,p.,Three-state,logic,gates[edit].,pp.317319.,standard,CMOS,logic,vs.,

For,,discrete,,circuitry,,,see,,Discrete,,circuit.,,ISBN978-0-7506-8555-9.,,In,,,the,,,1980s,,,,schematics,,,were,,,the,,,predominant,,,method,,,to,,,design,,,both,,,circuit,,,boards,,,and,,,custom,,,ICs,,,known,,,as,,,gate,,,arrays.,,,A,,tristate,,buffer,,can,,be,,thought,,of,,as,,a,,switch.,,Note,,that,,the,,use,,of,,3-state,,logic,,for,,bus,,systems,,is,,not,,needed,,,and,,can,,be,,replaced,,by,,digital,,multiplexers,,,which,,can,,be,,built,,using,,only,,simple,,logic,,gates,,(such,,as,,NAND,,gates,,,NOR,,gates,,,or,,AND,,and,,OR,,gates).,,Often,considered,to,be,the,father,to,modern,TTL,logic.,Charles,Sanders,Peirce,(during,188081),showed,that,NOR,gates,alone,(or,alternatively,NAND,gates,alone),can,be,used,to,reproduce,the,functions,of,all,the,other,logic,gates,,but,his,work,on,it,was,unpublished,until,1933.[6],The,first,published,proof,was,by,Henry,M.,Main,,,article:,,,Unconventional,,,computing.,,,Non-electronic,,implementations,,are,,varied,,,though,,few,,of,,them,,are,,used,,in,,practical,,applications.,, d351235422

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