# Binary vs Semigroup - What's the difference?

binary | semigroup |

## As an adjective binary

is being in a state of one of two mutually exclusive conditions such as on or off, true or false, molten or frozen, presence or absence of a signal.

## As a noun binary

is (mathematics|computing|uncountable) the bijective base-2 numeral system, which uses only the digits.

# binary

## English

(wikipedia binary)

(-)
• Being in a state of one of two mutually exclusive conditions such as on or off, true or false, molten or frozen, presence or absence of a signal.
• * {{quote-magazine, title=The climate of Tibet: Pole-land
• , date=2013-05-11, volume=407, issue=8835, page=80 , magazine=(The Economist) citation , passage=Of all the transitions brought about on the Earthâ€™s surface by temperature change, the melting of ice into water is the starkest. It is binary . And for the land beneath, the air above and the life around, it changes everything.}}
Binary states are often represented as 1 and 0 in computer science.
• (logic) Concerning logic whose subject matter concerns binary states.
• (arithmetic, computing) Concerning numbers and calculations using the binary number system.
• Having two equally important parts; related to something with two parts.
• Two ingredients are combined in a binary poison.
A binary statistical distribution has only two categories.
• (mathematics, programming, computer engineering) Of an operation, function, procedure or inputs; having domain of dimension 2.
• Division of reals is a binary operation.
• (computing) Of data, consisting coded values not interpretable as plain or ASCII text.
• He downloaded the binary distribution for Linux, then burned it to DVD.

#### Synonyms

* dyadic * (logic of binary states) Boolean * (of calculations with binary numbers)

#### Antonyms

* (arbitrary data) ASCII, text

#### Derived terms

* binary antonym * binary arithmetic * binary code * binary compound * binary digit * binary distribution * binary fission * binary function * binary logarithm * binary name * binary noun * binary number * binary numeral system * binary operation * binary operator * binary quasar * binary relation * binary star * binary star system * binary system * binary tree * contact binary * gender binary

* unary * ternary

### Noun

(binaries) (wikipedia binary)
• (mathematics, computing, uncountable) The bijective base-2 numeral system, which uses only the digits .
• (computing) An executable computer file.
• (astronomy) A star system consisting of only two stars.
• #### Synonyms

* * (system of two stars) binary star, double star

#### Derived terms

* binary-coded decimal * visual binary * X-ray binary

* -ary * decimal * hexadecimal * octal

*

# semigroup

## English

### Noun

(wikipedia semigroup) (en noun)
• (mathematics) Any set for which there is a binary operation that is both closed and associative.
• * 1961 , Alfred Hoblitzelle Clifford, ?G. B. Preston, The Algebraic Theory of Semigroups (page 70)
• If a semigroup S'' contains a zeroid, then every left zeroid is also a right zeroid, and vice versa, and the set ''K'' of all the zeroids of ''S'' is the kernel of ''S .

#### Hyponyms

* monoid * group