Home/Algebra/Boolean algebra/Idempotence and complement25. Boolean algebraIdempotence and complementLevel: fundamentalIn 25. Boolean algebraFormulaCopy LaTeXA+A=A; AA=A; A+Aˉ=1; AAˉ=0A+A=A;\;AA=A;\;A+\bar A=1;\;A\bar A=0A+A=A;AA=A;A+Aˉ=1;AAˉ=0Tagsalgebraboolean algebrabooleanCSalgebra formulaDetailEssential rules for Boolean simplification.Explore the ideaFound an error? Contact us.Related formulasRelatedDe Morgan's lawsA+B‾=AˉBˉ;AB‾=Aˉ+Bˉ\overline{A+B}=\bar A\bar B;\quad \overline{AB}=\bar A+\bar BA+B=AˉBˉ;AB=Aˉ+BˉOpen formulaOpen in sectionRelatedAbsorptionA+AB=A;A(A+B)=AA+AB=A;\quad A(A+B)=AA+AB=A;A(A+B)=AOpen formulaOpen in section