Theorems of Boolean algebra

May 29th, 2015
Studypool Tutor
Price: $10 USD

Tutor description

After values, the next ingredient of any algebraic system is its operations. Whereas elementary algebra is based on numeric operations multiplication xy, addition x + y, and negation −x, Boolean algebra is customarily based on logical

Word Count: 4317
Showing Page: 1/9
Boolean algebra (logic)From Wikipedia, the free encyclopediaFor other uses, seeBoolean algebra (disambiguation).Boolean algebra(orBoolean logic) is a logical calculus oftruth values, developed byGeorge Boolein the 1840s. It resembles thealgebraofreal numbers, but with the numeric operations of multiplicationxy, additionx+y, and negation xreplaced by the respective logical operations ofconjunctionxy,disjunctionxy, andnegationx. The Boolean operations are these and all other operations that can be built from these, such asx(yz). These turn out to coincide with the set of all operations on the set {0,1} that take only finitely many arguments; there are 22nsuch operations when there arenarguments.The laws of Boolean algebra can be definedaxiomaticallyas certain equations called axioms together with theirlogical consequencescalled theorems, orsemanticallyas those equations that are true for every possible assignment of 0 or 1 to their variables. The axiomatic approach issoundandcompletein the sense that it proves respectively neither more nor fewer laws than the semantic approach.[edit]ValuesBoolean algebra is the algebra of two values. These are usually taken to be 0 and 1, as we shall do here, although F and T, false and true, etc. are also in common use. For the purpose of understanding Boolean algebra anyBoolean domainof two values will do.Regardless of nomenclature, the values are c

Review from student

Studypool Student
" Super fast turn around time. Very impressed and will use Studypool again if I need a quick job. Communication was a bit tough but not unbearable. "
Ask your homework questions. Receive quality answers!

Type your question here (or upload an image)

1826 tutors are online

Brown University

1271 Tutors

California Institute of Technology

2131 Tutors

Carnegie Mellon University

982 Tutors

Columbia University

1256 Tutors

Dartmouth University

2113 Tutors

Emory University

2279 Tutors

Harvard University

599 Tutors

Massachusetts Institute of Technology

2319 Tutors

New York University

1645 Tutors

Notre Dam University

1911 Tutors

Oklahoma University

2122 Tutors

Pennsylvania State University

932 Tutors

Princeton University

1211 Tutors

Stanford University

983 Tutors

University of California

1282 Tutors

Oxford University

123 Tutors

Yale University

2325 Tutors