Binary combination is a term that is commonly used in mathematics and computer science. It refers to the process of combining two elements or variables in a way that there are only two possible outcomes. This article will define the term and explore its meaning, origin, associations, synonyms, antonyms, root words, and provide example sentences.
Definitions
Binary combination is the process of combining two elements or variables in a way that there are only two possible outcomes. The two elements or variables are usually represented by the digits 0 and 1. In mathematics, binary combination is used in binary arithmetic, which is the basis of digital electronics and computer programming.
Origin
The origin of binary combination can be traced back to the ancient Chinese I Ching, or Book of Changes. The I Ching is a divination text that uses a system of binary symbols called trigrams to represent the fundamental principles of the universe. The trigrams are made up of three lines, each of which can be either solid or broken. The solid line represents the yang, or masculine principle, while the broken line represents the yin, or feminine principle. By combining the trigrams, the I Ching can generate 64 hexagrams, each of which represents a different combination of the fundamental principles.
Meaning in different dictionaries
In the Merriam-Webster dictionary, binary combination is defined as “a combination of two things in which there are only two possible outcomes”. In the Oxford English Dictionary, it is defined as “a combination of two elements or variables in which there are only two possible outcomes, typically represented by the digits 0 and 1”.
Associations
Binary combination is associated with digital electronics, computer programming, and information technology. It is also associated with Boolean algebra, which is a branch of algebra that deals with logical operations and binary variables.
Synonyms
Synonyms of binary combination include binary operation, binary function, binary system, and binary arithmetic.
Antonyms
Antonyms of binary combination include multiple combination, complex combination, and continuous combination.
The same root words
The root words of binary combination are binary and combination. Binary comes from the Latin word binarius, which means “consisting of two”. Combination comes from the Latin word combinare, which means “to unite”.
Example Sentences
- The binary combination of 0 and 1 is the basis of digital electronics.
- In binary arithmetic, each digit can only be 0 or 1, representing a binary combination.
- The Boolean operators AND, OR, and NOT are used to manipulate binary combinations in computer programming.
- The I Ching uses binary combinations of trigrams to generate hexagrams for divination purposes.
- The binary combination of hydrogen and oxygen produces water.