Values
Whereas elementary algebra deals mainly with real numbers, Boolean algebra deals with the values 0 and 1. These can be thought of as two integers, or as the truth values false and true respectively. In either case they are called bits or binary digits, in contrast to the decimal digits 0 through 9.
Boolean algebra also deals with other values on which Boolean operations can be defined, such as sets or sequences of bits. However, Boolean algebra is unlike many other systems of algebra in that it obeys exactly the same laws (equational properties), neither more nor fewer, no matter which of these other values are employed. Much of the subject can therefore be introduced without reference to any values besides 0 and 1. Other values are treated in the section on Boolean algebras.
Read more about this topic: Boolean Algebra
Famous quotes containing the word values:
“Science has nothing to be ashamed of even in the ruins of Nagasaki. The shame is theirs who appeal to other values than the human imaginative values which science has evolved.”
—Jacob Bronowski (1908–1974)
“Our children need to be able to see us take a stand for a value and against injustices, be those values and injustices in the family room, the boardroom, the classroom, or on the city streets.”
—Barbara Coloroso (20th century)
“[University students] hated the hypocrisy of adult society, the rigidity of its political institutions, the impersonality of its bureaucracies. They sought to create a society that places human values before materialistic ones, that has a little less head and a little more heart, that is dominated by self-interest and loves its neighbor more. And they were persuaded that group protest of a militant nature would advance those goals.”
—Muriel Beadle (b. 1915)