Search results
Results from the WOW.Com Content Network
A binary computer does exactly the same multiplication as decimal numbers do, but with binary numbers. In binary encoding each long number is multiplied by one digit (either 0 or 1), and that is much easier than in decimal, as the product by 0 or 1 is just 0 or the same number.
The most commonly studied operations are binary operations (i.e., operations of arity 2), such as addition and multiplication, and unary operations (i.e., operations of arity 1), such as additive inverse and multiplicative inverse. An operation of arity zero, or nullary operation, is a constant.
More formally, a binary operation is an operation of arity two. More specifically, a binary operation on a set is a binary function whose two domains and the codomain are the same set. Examples include the familiar arithmetic operations of addition, subtraction, and multiplication.
The base-2 numeral system is a positional notation with a radix of 2.Each digit is referred to as a bit, or binary digit.Because of its straightforward implementation in digital electronic circuitry using logic gates, the binary system is used by almost all modern computers and computer-based devices, as a preferred system of use, over various other human techniques of communication, because ...
A binary operation is a binary function where the sets X, Y, and Z are all equal; binary operations are often used to define algebraic structures. In linear algebra, a bilinear transformation is a binary function where the sets X, Y, and Z are all vector spaces and the derived functions f x and f y are all linear transformations.
Computing the carry-less product. The carry-less product of two binary numbers is the result of carry-less multiplication of these numbers. This operation conceptually works like long multiplication except for the fact that the carry is discarded instead of applied to the more significant position.
A semigroup is a set with an associative binary operation. Commutativity and distributivity are two other frequently discussed properties of binary operations. Power associativity, alternativity, flexibility and N-ary associativity are weak forms of associativity. Moufang identities also provide a weak form of associativity.
Binary code, the representation of text and data using only the digits 1 and 0; Bit, or binary digit, the basic unit of information in computers; Binary file, composed of something other than human-readable text Executable, a type of binary file that contains machine code for the computer to execute