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:
“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)
“Today so much rebellion is aimless and demoralizing precisely because children have no values to challenge. Teenage rebellion is a testing process in which young people try out various values in order to make them their own. But during those years of trial, error, embarrassment, a child needs family standards to fall back on, reliable habits of thought and feeling that provide security and protection.”
—Neil Kurshan (20th century)
“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)