Examples of using Boolean algebra in English and their translations into Indonesian
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Ecclesiastic
His mathematical system became known as Boolean algebra.
This characteristic of Boolean algebra is called the principle of duality.
Gates are often calledlogic circuits because they can be analyzed with Boolean algebra.
Some grounding in finite mathematics(including Boolean algebra, finite-set theory, combinatorics, and graph theory) can be helpful.
It was only in 1940, a new era started since the invention of the computerelectrically electrical computer system to apply Boolean algebra.
Learn about logic gates, flip-flops, and boolean algebra with the help of the simulations which you can create using this piece of software.
George Boole is known as the“father of the information age” because of hiscontributions to modern computer science through his invention of Boolean algebra.
Boolean algebra has been fundamental in the development of digital electronics, and is provided for in all modern programming languages.
Next, he expanded this concept; proving that it would be possible touse arrangements of relays to solve problems in Boolean algebra.
Boolean algebra as an axiomatic algebraic structure in the modern axiomatic sense begins with a 1904 paper by Edward V. Huntington.
He worked in the fields of differential equations and algebraic logic, and is best known as the author of The Laws of Thought(1854)which contains Boolean algebra.
Boolean algebra came of age as serious mathematics with the work of Marshall Stone in the 1930s, and with Garrett Birkhoff's 1940 Lattice Theory.
He helped establish modern symbolic logic and his algebra of logic,now called Boolean algebra, is the basic design of digital computer circuits.
In modern computers, binary code and Boolean algebra enable computer systems to make easy selections by comparing lengthy strings of zeros and ones.
It was named after Julius Caesar who is reported to have used it, with a shift of 3, to communicate with his generals during his military campaigns,just like EXCESS-3 code in boolean algebra.
In modern computers, binary code and Boolean algebra allow computers to make simple decisions by comparing long strings of zeros and ones.
In the 1960s, Paul Cohen, Dana Scott, and others found deep new results in mathematical logic andaxiomatic set theory using offshoots of Boolean algebra, namely forcing and Boolean-valued models.
In his Master�s thesis, Shannon proved that Boolean algebra and binary arithmetic could be used to simplify the arrangement of the relays used for telephone call routing switches.
As a 21-year-old master's degree student at the Massachusetts Institute of Technology,Shannon wrote his thesis demonstrating that electrical applications of Boolean algebra could construct and resolve any logical, numerical relationship.
In this work, Shannon proved that boolean algebra and binary arithmetic could be used to simplify the arrangement of the electromechanical relays that were used then in telephone call routing switches.
Instead of elementary algebra where the values of the variables are numbers, and the prime operations are addition and multiplication,the main operations of Boolean algebra are the conjunction and denoted as∧, the disjunction or denoted as∨, and the negation not denoted as¬.
Boolean Algebra is therefore a system of mathematics based on logic that has its own set of rules or laws which are used to define and reduce Boolean expressions.
He built the modern symbolic logic and the algebraic logic,now called Boolean Algebra, which is used as the basis for the design of digital computer circuits.
By drawing on Boolean algebra- which assigns the value of“1” to“true” statements and the value of“0” to“false” statements- he applied the value of“1” to circuits turned on, and the value of“0” to circuits that were off.
An American philosopher, Charles Sanders Peirce,realized in 1867 that the values represented in Boolean algebra could be expressed mechanically by“on” and“off” positions in switches built into an electrical circuit.
Boolean Algebra expression have been invented to help to reduce the number of logic gates that is used to perform a particular logic operation resulting a list of theorems or functions commonly knownas the"Laws of Boolean Algebra".
Established computing depends, at its definitive level, on standards given by Boolean algebra, working with a 7-mode logic gate guideline, however it is conceivable to exist with just three modes that are AND, COPY, and NOT.
Another came as the teacher of Claude Shannon(1916- 2001), a brilliant mathematician who figured out how electrical circuits couldbe linked together to process binary code with Boolean algebra(a way of comparing binary numbers using logic) and thus make simple decisions.
Classical computing relies, at its ultimate level, on principles expressed by Boolean algebra, operating with a(usually) 7-mode logic gate principle, though it is possible to exist with only three modes(which are AND, NOT, and COPY).
Many classes of algebras over a field or over a ring have a specific name: Associative algebra Non-associative algebra Lie algebra Hopf algebra C*-algebra Symmetric algebra Exterior algebra Tensor algebra In measure theory, Sigma-algebra Algebra over a set In category theory F-algebra and F-coalgebra T-algebra In logic, Relation algebra, a residuated Boolean algebra expanded with an involution called converse.