Logo
Unionpedia
Communication
Get it on Google Play
New! Download Unionpedia on your Android™ device!
Free
Faster access than browser!
 

Two's complement

Index Two's complement

Two's complement is a mathematical operation on binary numbers, best known for its role in computing as a method of signed number representation. [1]

65 relations: Absolute value, Adding machine, Addition, Additive inverse, Bill Gosper, Binary number, Bit, Bit array, Bit numbering, Bitwise operation, Booth's multiplication algorithm, Branch (computer science), C (programming language), Carry flag, Carry-lookahead adder, CDC 6600, Computing, Continuous function, Convention (norm), Cyclic group, Data General Nova, Digital Equipment Corporation, Divergent series, Division algorithm, Electronic delay storage automatic calculator, Exclusive or, First Draft of a Report on the EDVAC, Group action, HAKMEM, IBM, IBM 700/7000 series, IBM System/360, Integer overflow, John von Neumann, Lexicographical order, LINC, Mathematical joke, Mechanical calculator, Method of complements, Metric space, MIT Computer Science and Artificial Intelligence Laboratory, Modular arithmetic, Multiplication, Negative flag, Nibble, Offset binary, Ones' complement, Operation (mathematics), Overflow flag, P-adic number, ..., PDP-1, PDP-11, PDP-6, PDP-8, Python (programming language), Radix, Relational operator, Russian State University for the Humanities, Sign bit, Signed number representations, Status register, Subtraction, UNIVAC 1100/2200 series, Zero flag, 1 + 2 + 4 + 8 + ⋯. Expand index (15 more) »

Absolute value

In mathematics, the absolute value or modulus of a real number is the non-negative value of without regard to its sign.

New!!: Two's complement and Absolute value · See more »

Adding machine

An adding machine was a class of mechanical calculator, usually specialized for bookkeeping calculations.

New!!: Two's complement and Adding machine · See more »

Addition

Addition (often signified by the plus symbol "+") is one of the four basic operations of arithmetic; the others are subtraction, multiplication and division.

New!!: Two's complement and Addition · See more »

Additive inverse

In mathematics, the additive inverse of a number is the number that, when added to, yields zero.

New!!: Two's complement and Additive inverse · See more »

Bill Gosper

Ralph William Gosper Jr. (born April 26, 1943), known as Bill Gosper, is an American mathematician and programmer.

New!!: Two's complement and Bill Gosper · See more »

Binary number

In mathematics and digital electronics, a binary number is a number expressed in the base-2 numeral system or binary numeral system, which uses only two symbols: typically 0 (zero) and 1 (one).

New!!: Two's complement and Binary number · See more »

Bit

The bit (a portmanteau of binary digit) is a basic unit of information used in computing and digital communications.

New!!: Two's complement and Bit · See more »

Bit array

A bit array (also known as bit map, bit set, bit string, or bit vector) is an array data structure that compactly stores bits.

New!!: Two's complement and Bit array · See more »

Bit numbering

In computing, bit numbering (or sometimes bit endianness) is the convention used to identify the bit positions in a binary number or a container for such a value.

New!!: Two's complement and Bit numbering · See more »

Bitwise operation

In digital computer programming, a bitwise operation operates on one or more bit patterns or binary numerals at the level of their individual bits.

New!!: Two's complement and Bitwise operation · See more »

Booth's multiplication algorithm

Booth's multiplication algorithm is a multiplication algorithm that multiplies two signed binary numbers in two's complement notation.

New!!: Two's complement and Booth's multiplication algorithm · See more »

Branch (computer science)

A branch is an instruction in a computer program that can cause a computer to begin executing a different instruction sequence and thus deviate from its default behavior of executing instructions in order.

New!!: Two's complement and Branch (computer science) · See more »

C (programming language)

C (as in the letter ''c'') is a general-purpose, imperative computer programming language, supporting structured programming, lexical variable scope and recursion, while a static type system prevents many unintended operations.

New!!: Two's complement and C (programming language) · See more »

Carry flag

In computer processors the carry flag (usually indicated as the C flag) is a single bit in a system status (flag) register used to indicate when an arithmetic carry or borrow has been generated out of the most significant ALU bit position.

New!!: Two's complement and Carry flag · See more »

Carry-lookahead adder

A carry-lookahead adder (CLA) or fast adder is a type of adder used in digital logic.

New!!: Two's complement and Carry-lookahead adder · See more »

CDC 6600

The CDC 6600 was the flagship of the 6000 series of mainframe computer systems manufactured by Control Data Corporation.

New!!: Two's complement and CDC 6600 · See more »

Computing

Computing is any goal-oriented activity requiring, benefiting from, or creating computers.

New!!: Two's complement and Computing · See more »

Continuous function

In mathematics, a continuous function is a function for which sufficiently small changes in the input result in arbitrarily small changes in the output.

New!!: Two's complement and Continuous function · See more »

Convention (norm)

A convention is a set of agreed, stipulated, or generally accepted standards, norms, social norms, or criteria, often taking the form of a custom.

New!!: Two's complement and Convention (norm) · See more »

Cyclic group

In algebra, a cyclic group or monogenous group is a group that is generated by a single element.

New!!: Two's complement and Cyclic group · See more »

Data General Nova

The Data General Nova is a series of 16-bit minicomputers released by the American company Data General.

New!!: Two's complement and Data General Nova · See more »

Digital Equipment Corporation

Digital Equipment Corporation, also known as DEC and using the trademark Digital, was a major American company in the computer industry from the 1950s to the 1990s.

New!!: Two's complement and Digital Equipment Corporation · See more »

Divergent series

In mathematics, a divergent series is an infinite series that is not convergent, meaning that the infinite sequence of the partial sums of the series does not have a finite limit.

New!!: Two's complement and Divergent series · See more »

Division algorithm

A division algorithm is an algorithm which, given two integers N and D, computes their quotient and/or remainder, the result of division.

New!!: Two's complement and Division algorithm · See more »

Electronic delay storage automatic calculator

The electronic delay storage automatic calculator (EDSAC) was an early British computer.

New!!: Two's complement and Electronic delay storage automatic calculator · See more »

Exclusive or

Exclusive or or exclusive disjunction is a logical operation that outputs true only when inputs differ (one is true, the other is false).

New!!: Two's complement and Exclusive or · See more »

First Draft of a Report on the EDVAC

The First Draft of a Report on the EDVAC (commonly shortened to First Draft) is an incomplete 101-page document written by John von Neumann and distributed on June 30, 1945 by Herman Goldstine, security officer on the classified ENIAC project.

New!!: Two's complement and First Draft of a Report on the EDVAC · See more »

Group action

In mathematics, an action of a group is a formal way of interpreting the manner in which the elements of the group correspond to transformations of some space in a way that preserves the structure of that space.

New!!: Two's complement and Group action · See more »

HAKMEM

HAKMEM, alternatively known as AI Memo 239, is a February 1972 "memo" (technical report) of the MIT AI Lab containing a wide variety of hacks, including useful and clever algorithms for mathematical computation, some number theory and schematic diagrams for hardware — in Guy L. Steele's words, "a bizarre and eclectic potpourri of technical trivia".

New!!: Two's complement and HAKMEM · See more »

IBM

The International Business Machines Corporation (IBM) is an American multinational technology company headquartered in Armonk, New York, United States, with operations in over 170 countries.

New!!: Two's complement and IBM · See more »

IBM 700/7000 series

The IBM 700/7000 series is a series of large-scale (mainframe) computer systems that were made by IBM through the 1950s and early 1960s.

New!!: Two's complement and IBM 700/7000 series · See more »

IBM System/360

The IBM System/360 (S/360) is a family of mainframe computer systems that was announced by IBM on April 7, 1964, and delivered between 1965 and 1978.

New!!: Two's complement and IBM System/360 · See more »

Integer overflow

In computer programming, an integer overflow occurs when an arithmetic operation attempts to create a numeric value that is outside of the range that can be represented with a given number of bits – either larger than the maximum or lower than the minimum representable value.

New!!: Two's complement and Integer overflow · See more »

John von Neumann

John von Neumann (Neumann János Lajos,; December 28, 1903 – February 8, 1957) was a Hungarian-American mathematician, physicist, computer scientist, and polymath.

New!!: Two's complement and John von Neumann · See more »

Lexicographical order

In mathematics, the lexicographic or lexicographical order (also known as lexical order, dictionary order, alphabetical order or lexicographic(al) product) is a generalization of the way words are alphabetically ordered based on the alphabetical order of their component letters.

New!!: Two's complement and Lexicographical order · See more »

LINC

The LINC (Laboratory INstrument Computer) is a 12-bit, 2048-word transistorized computer.

New!!: Two's complement and LINC · See more »

Mathematical joke

A mathematical joke is a form of humor which relies on aspects of mathematics or a stereotype of mathematicians to derive humor.

New!!: Two's complement and Mathematical joke · See more »

Mechanical calculator

A mechanical calculator, or calculating machine, is a mechanical device used to perform automatically the basic operations of arithmetic.

New!!: Two's complement and Mechanical calculator · See more »

Method of complements

In mathematics and computing, the method of complements is a technique used to subtract one number from another using only addition of positive numbers.

New!!: Two's complement and Method of complements · See more »

Metric space

In mathematics, a metric space is a set for which distances between all members of the set are defined.

New!!: Two's complement and Metric space · See more »

MIT Computer Science and Artificial Intelligence Laboratory

MIT Computer Science and Artificial Intelligence Laboratory (CSAIL) is a research institute at the Massachusetts Institute of Technology formed by the 2003 merger of the Laboratory for Computer Science and the Artificial Intelligence Laboratory.

New!!: Two's complement and MIT Computer Science and Artificial Intelligence Laboratory · See more »

Modular arithmetic

In mathematics, modular arithmetic is a system of arithmetic for integers, where numbers "wrap around" upon reaching a certain value—the modulus (plural moduli).

New!!: Two's complement and Modular arithmetic · See more »

Multiplication

Multiplication (often denoted by the cross symbol "×", by a point "⋅", by juxtaposition, or, on computers, by an asterisk "∗") is one of the four elementary mathematical operations of arithmetic; with the others being addition, subtraction and division.

New!!: Two's complement and Multiplication · See more »

Negative flag

In a computer processor the negative flag or sign flag is a single bit in a system status (flag) register used to indicate whether the result of the last mathematical operation resulted in a value in which the most significant bit was set.

New!!: Two's complement and Negative flag · See more »

Nibble

In computing, a nibble (occasionally nybble or nyble to match the spelling of byte) is a four-bit aggregation, or half an octet.

New!!: Two's complement and Nibble · See more »

Offset binary

Offset binary, also referred to as excess-K, excess-N, excess code or biased representation, is a digital coding scheme where all-zero corresponds to the minimal negative value and all-one to the maximal positive value.

New!!: Two's complement and Offset binary · See more »

Ones' complement

The ones' complement of a binary number is defined as the value obtained by inverting all the bits in the binary representation of the number (swapping 0s for 1s and vice versa).

New!!: Two's complement and Ones' complement · See more »

Operation (mathematics)

In mathematics, an operation is a calculation from zero or more input values (called operands) to an output value.

New!!: Two's complement and Operation (mathematics) · See more »

Overflow flag

In computer processors, the overflow flag (sometime called V flag) is usually a single bit in a system status register used to indicate when an arithmetic overflow has occurred in an operation, indicating that the signed two's-complement result would not fit in the number of bits used for the operation (the ALU width).

New!!: Two's complement and Overflow flag · See more »

P-adic number

In mathematics, the -adic number system for any prime number extends the ordinary arithmetic of the rational numbers in a different way from the extension of the rational number system to the real and complex number systems.

New!!: Two's complement and P-adic number · See more »

PDP-1

The PDP-1 (Programmed Data Processor-1) is the first computer in Digital Equipment Corporation's PDP series and was first produced in 1959.

New!!: Two's complement and PDP-1 · See more »

PDP-11

The PDP-11 is a series of 16-bit minicomputers sold by Digital Equipment Corporation (DEC) from 1970 into the 1990s, one of a succession of products in the PDP series.

New!!: Two's complement and PDP-11 · See more »

PDP-6

The PDP-6 (Programmed Data Processor-6) was a computer model developed by Digital Equipment Corporation (DEC) in 1963.

New!!: Two's complement and PDP-6 · See more »

PDP-8

The PDP-8 was a 12-bit minicomputer produced by Digital Equipment Corporation (DEC).

New!!: Two's complement and PDP-8 · See more »

Python (programming language)

Python is an interpreted high-level programming language for general-purpose programming.

New!!: Two's complement and Python (programming language) · See more »

Radix

In mathematical numeral systems, the radix or base is the number of unique digits, including zero, used to represent numbers in a positional numeral system.

New!!: Two's complement and Radix · See more »

Relational operator

In computer science, a relational operator is a programming language construct or operator that tests or defines some kind of relation between two entities.

New!!: Two's complement and Relational operator · See more »

Russian State University for the Humanities

The Russian State University for the Humanities (RSUH, RGGU; translit), is a university in Moscow, Russia with over 14,000 students.

New!!: Two's complement and Russian State University for the Humanities · See more »

Sign bit

In computer science, the sign bit is a bit in a signed number representation that indicates the sign of a number.

New!!: Two's complement and Sign bit · See more »

Signed number representations

In computing, signed number representations are required to encode negative numbers in binary number systems.

New!!: Two's complement and Signed number representations · See more »

Status register

A status register, flag register, or condition code register (CCR) is a collection of status flag bits for a processor.

New!!: Two's complement and Status register · See more »

Subtraction

Subtraction is an arithmetic operation that represents the operation of removing objects from a collection.

New!!: Two's complement and Subtraction · See more »

UNIVAC 1100/2200 series

The UNIVAC 1100/2200 series is a series of compatible 36-bit computer systems, beginning with the UNIVAC 1107 in 1962, initially made by Sperry Rand.

New!!: Two's complement and UNIVAC 1100/2200 series · See more »

Zero flag

The zero flag is a single bit flag that is a central feature on most conventional CPU architectures (including x86, ARM, PDP-11, 68000, 6502, and numerous others).

New!!: Two's complement and Zero flag · See more »

1 + 2 + 4 + 8 + ⋯

In mathematics, is the infinite series whose terms are the successive powers of two.

New!!: Two's complement and 1 + 2 + 4 + 8 + ⋯ · See more »

Redirects here:

2's complement, 2's complement arithmetic, 2's complement notation, 2's compliment, 2's-complement, 2's-complement arithmetic, 2's-complement system, 2s complement, 2s compliment, 2s' complement arithmetic, 2s'-complement, 2s'-complement arithmetic, 2s'-complement system, Most negative number, Two complement, Two complement notation, Two's Complement, Two's complement arithmetic, Two's complement notation, Two's complement system, Two's compliment, Two's-complement, Two's-complement arithmetic, Two's-complement system, Twos Compliment, Twos complement, Twos complement arithmetic, Twos complement system, Twos' complement, Twos' complement arithmetic, Twos' complement system, Twos'-complement, Twos'-complement arithmetic, Twos'-complement system, Twos-complement, Twos-complement arithmetic, Twos-complement system, Two’s complement.

References

[1] https://en.wikipedia.org/wiki/Two's_complement

OutgoingIncoming
Hey! We are on Facebook now! »