{"title":"Boolean Algebra and Logic Gates","authors":"Subhrajit Sarma, Rama Kanta Bhuyan","doi":"10.14445/22315373/IJMTT-V65I3P522","DOIUrl":null,"url":null,"abstract":"1 The Algebra of Statements, Continued Recall from last week that we learned how to add two statements A and B to form the statement A + B. Similar to the logical addition, we can introduce logical multiplication. Let us define A×B as the statement A and B. For example, if A = three is greater than two and B = three is greater than five, then A × B = three is greater than two and five. Quite obviously, A and B is true if and only if both A and B are true.","PeriodicalId":231515,"journal":{"name":"International Journal of Mathematics Trends and Technology","volume":"86 1","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"2019-03-25","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"1","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"International Journal of Mathematics Trends and Technology","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.14445/22315373/IJMTT-V65I3P522","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
引用次数: 1
Abstract
1 The Algebra of Statements, Continued Recall from last week that we learned how to add two statements A and B to form the statement A + B. Similar to the logical addition, we can introduce logical multiplication. Let us define A×B as the statement A and B. For example, if A = three is greater than two and B = three is greater than five, then A × B = three is greater than two and five. Quite obviously, A and B is true if and only if both A and B are true.