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Bitwise operation. In computer programming, a bitwise operation operates on a bit string, a bit array or a binary numeral (considered as a bit string) at the level of its individual bits. It is a fast and simple action, basic to the higher-level arithmetic operations and directly supported by the processor.
Each complete English word has an arbitrary integer value associated with it. In computer science, a trie ( / ˈtraɪ /, / ˈtriː / ), also called digital tree or prefix tree, [1] is a type of k -ary search tree, a tree data structure used for locating specific keys from within a set. These keys are most often strings, with links between nodes ...
In mathematics, a binary operation is commutative if changing the order of the operands does not change the result. It is a fundamental property of many binary operations, and many mathematical proofs depend on it. Perhaps most familiar as a property of arithmetic, e.g. "3 + 4 = 4 + 3" or "2 × 5 = 5 × 2", the property can also be used in more ...
Shift operator. In mathematics, and in particular functional analysis, the shift operator, also known as the translation operator, is an operator that takes a function x ↦ f(x) to its translation x ↦ f(x + a). [1] In time series analysis, the shift operator is called the lag operator . Shift operators are examples of linear operators ...
A bitwise operation operates on one or more bit patterns or binary numerals at the level of their individual bits.It is a fast, primitive action directly supported by the central processing unit (CPU), and is used to manipulate values for comparisons and calculations.
A one-bit full-adder adds three one-bit numbers, often written as , , and ; and are the operands, and is a bit carried in from the previous less-significant stage. [3] The full adder is usually a component in a cascade of adders, which add 8, 16, 32, etc. bit binary numbers. The circuit produces a two-bit output.
Unary operation. In mathematics, a unary operation is an operation with only one operand, i.e. a single input. [1] This is in contrast to binary operations, which use two operands. [2] An example is any function f : A → A, where A is a set. The function f is a unary operation on A .
In information theory, the Hamming distance between two strings or vectors of equal length is the number of positions at which the corresponding symbols are different. In other words, it measures the minimum number of substitutions required to change one string into the other, or equivalently, the minimum number of errors that could have transformed one string into the other.