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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. Most architectures provide only a few high value bitwise operations, presented as two-operand instructions where the result replaces one of the input operands.

Binary operationBinary operationIn mathematics, a binary operation or dyadic operation is a kind of binary function, i.e. given a pair of input values (called operands), it produces an output value. For example, addition is a binary operation: 3+4=7{\displaystyle 3+4=7}. A binary operation is an operation of arity two. Some definitions require the two inputs and the output to be elements of the same set.Processor registerProcessor registerA processor register is a quickly accessible storage location available to a computer's processor. Registers usually consist of a small amount of fast storage, although some registers have specific hardware functions, and may be read-only or write-only. In computer architecture, registers are typically addressed by mechanisms other than main memory, but may in some cases be assigned a memory address e.g. the DECPDP-6/PDP-10 and the ICT 1900.Ones' complementOnes' complementThe ones' complement of a binary number is the value obtained by inverting (flipping) all the bits in the number (that is, changing each 1 to a 0 and each 0 to a 1). The name "ones' complement" refers to the fact that such an inverted value, if added to the original, would always produce an "all ones" number (the term "complement" refers to such pairs of mutually additive inverse numbers, here in respect to a non-0 base number).Two's complementTwo's complement is the most common method of representing signed (positive, negative, and zero) integers on computers, and more generally, fixed point binary values.Boolean functionBoolean functionRelated conceptsPropositional calculusPredicate logicBoolean algebraTruth tableTruth functionBoolean functionFunctional completenessScope (logic) ApplicationsDigital logicProgramming languagesMathematical logicPhilosophy of logicIn mathematics, a Boolean function is a function whose arguments and result assume values from a two-element set (usually {true, false}, {0,1} or {−1,1}).Undefined behaviorUndefined behaviorA computer program exhibits undefined behavior (UB) when it contains, or is executing code for which its programming language specification does not mandate any specific requirements. This is different from unspecified behavior, for which the language specification does not prescribe a result, and implementation-defined behavior that defers to the documentation of another component of the platform (such as the ABI or the translator documentation).Central processing unitCentral processing unitCentral computer component that executes instructionsCore i9-14900KF, a 2023 CPU made by IntelInside a central processing unit: The integrated circuit of Intel's Xeon 3060, first manufactured in 2006A central processing unit (CPU), also known as a central processor, main processor, or simply processor, is the primary processor in a given computer.BitBitThe bit is the most basic unit of information in computing and digital communication. The name is a portmanteau of binary digit. The bit represents a logical state with one of two possible values. These values are most commonly represented as 1 and 0, but other representations such as true/false, yes/no, on/off, and +/− are also widely used.Binary numberBinary numberNumber expressed in the base-2 numeral system Part of a series onNumeral systems Place-value notation Hindu–Arabic numerals Western Arabic Eastern Arabic Bengali Devanagari Gujarati Gurmukhi Odia Sinhala Tamil Malayalam Telugu Kannada Dzongkha Tibetan Balinese Burmese Javanese Khmer Lao Mongolian Sundanese Thai Other systems History Ancient Babylonian Post-classical Cistercian Mayan Muisca Pentadic Quipu Rumi Contemporary Cherokee Kaktovik (Iñupiaq) By radix/base Common radices/bases 2 3 4 5 6 8 10 11 12 16 20 60 Non-standard radices/bases Bijective (1) Signed-digit (balanced ternary) Mixed (factorial) Negative Complex (2i) Non-integer (φ) Asymmetric Sign-value notation Non-alphabetic Contemporary East Asian Chinese Hokkien Suzhou Japanese Korean Vietnamese Historic East Asian Counting rods Tangut Other non-alphabetic Aegean Attic Aztec Brahmi Chuvash Egyptian Etruscan Kharosthi Prehistoric counting Proto-cuneiform Roman Tally marks Alphabetic Abjad Armenian Alphasyllabic Akṣarapallī Āryabhaṭa Kaṭapayādi Coptic Cyrillic Geʽez Georgian Glagolitic Greek Hebrew List of numeral systemsvte A binary number is a number expressed in the base-2 numeral system or binary numeral system, a method for representing numbers that uses only two symbols for the natural numbers: typically 0 (zero) and 1 (one).Bit arrayBit arrayA bit array (also known as bit map, bit set, bit string, or bit vector) is an array data structure that compactly stores bits. It can be used to implement a simple set data structure. A bit array is effective at exploiting bit-level parallelism in hardware to perform operations quickly.Computer architectureComputer architectureIn computer science and computer engineering, a computer architecture is the conceptual design and operational structure of a computer system that define how component parts are organized and interact to execute programs efficiently. It is often a general description that ignores precise implementation details. It covers the instruction set architecture, CPU microarchitecture, memory, and input/output systems.Computer programmingComputer programmingComputer programming or coding is the composition of sequences of instructions, called programs, that computers can follow to perform tasks. It involves designing and implementing algorithms, step-by-step specifications of procedures, by writing code in one or more programming languages. Programmers typically use high-level programming languages that are more easily intelligible to humans than machine code, which is directly executed by the central processing unit.

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