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Base 12
The duodecimal system (also known as base 12, dozenal, or, rarely, uncial) is a positional notation numeral system using twelve as its base. The number twelve (that is, the number written as "12" in the decimal numerical system) is instead written as "10" in duodecimal (meaning "1 dozen and 0 units", instead of "1 ten and 0 units"), whereas the digit string "12" means "1 dozen and 2 units" (decimal 14). Similarly, in duodecimal, "100" means "1  gross", "1000" means "1  great gross", and "0.1" means "1 twelfth" (instead of their decimal meanings "1 hundred", "1 thousand", and "1 tenth", respectively). Various symbols have been used to stand for ten and eleven in duodecimal notation; this page uses and , as in hexadecimal, which make a duodecimal count from zero to twelve read 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, , , 10. The Dozenal Societies of America and Great Britain (organisations promoting the use of duodecimal) use turned digits in their publishe ...
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Dozen
A dozen (commonly abbreviated doz or dz) is a grouping of twelve. The dozen may be one of the earliest primitive integer groupings, perhaps because there are approximately a dozen cycles of the Moon, or months, in a cycle of the Sun, or year. Twelve is convenient because it has a maximal number of divisors among the numbers up to its double, a property only true of 1, 2, 6, 12, 60, 360, and 2520. The use of twelve as a base number, known as the duodecimal system (also as ''dozenal''), originated in Mesopotamia (see also sexagesimal). Counting in base-12 can easily be accomplished on one's hands by counting each finger bone with one's thumb. Using this method, one hand can count to twelve, and two hands (with the second hand as a placeholder for representing units of twelve) can count to 144. Twelve dozen (122 = 144) are known as a gross; and twelve gross (123 = 1,728, the duodecimal 1,000) are called a great gross, a term most often used when shipping or buying items in bu ...
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Positional Notation
Positional notation (or place-value notation, or positional numeral system) usually denotes the extension to any base of the Hindu–Arabic numeral system (or decimal system). More generally, a positional system is a numeral system in which the contribution of a digit to the value of a number is the value of the digit multiplied by a factor determined by the position of the digit. In early numeral systems, such as Roman numerals, a digit has only one value: I means one, X means ten and C a hundred (however, the value may be negated if placed before another digit). In modern positional systems, such as the decimal system, the position of the digit means that its value must be multiplied by some value: in 555, the three identical symbols represent five hundreds, five tens, and five units, respectively, due to their different positions in the digit string. The Babylonian numeral system, base 60, was the first positional system to be developed, and its influence is present toda ...
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Octal
The octal numeral system, or oct for short, is the base-8 number system, and uses the digits 0 to 7. This is to say that 10octal represents eight and 100octal represents sixty-four. However, English, like most languages, uses a base-10 number system, hence a true octal system might use different vocabulary. In the decimal system, each place is a power of ten. For example: : \mathbf_ = \mathbf \times 10^1 + \mathbf \times 10^0 In the octal system, each place is a power of eight. For example: : \mathbf_8 = \mathbf \times 8^2 + \mathbf \times 8^1 + \mathbf \times 8^0 By performing the calculation above in the familiar decimal system, we see why 112 in octal is equal to 64+8+2=74 in decimal. Octal numerals can be easily converted from binary representations (similar to a quaternary numeral system) by grouping consecutive binary digits into groups of three (starting from the right, for integers). For example, the binary representation for decimal 74 is 1001010. Two zeroes ca ...
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English Language
English is a West Germanic language of the Indo-European language family, with its earliest forms spoken by the inhabitants of early medieval England. It is named after the Angles, one of the ancient Germanic peoples that migrated to the island of Great Britain. Existing on a dialect continuum with Scots, and then closest related to the Low Saxon and Frisian languages, English is genealogically West Germanic. However, its vocabulary is also distinctively influenced by dialects of France (about 29% of Modern English words) and Latin (also about 29%), plus some grammar and a small amount of core vocabulary influenced by Old Norse (a North Germanic language). Speakers of English are called Anglophones. The earliest forms of English, collectively known as Old English, evolved from a group of West Germanic (Ingvaeonic) dialects brought to Great Britain by Anglo-Saxon settlers in the 5th century and further mutated by Norse-speaking Viking settlers starting in the 8 ...
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Germanic Languages
The Germanic languages are a branch of the Indo-European language family spoken natively by a population of about 515 million people mainly in Europe, North America, Oceania and Southern Africa. The most widely spoken Germanic language, English, is also the world's most widely spoken language with an estimated 2 billion speakers. All Germanic languages are derived from Proto-Germanic, spoken in Iron Age Scandinavia. The West Germanic languages include the three most widely spoken Germanic languages: English with around 360–400 million native speakers; German, with over 100 million native speakers; and Dutch, with 24 million native speakers. Other West Germanic languages include Afrikaans, an offshoot of Dutch, with over 7.1 million native speakers; Low German, considered a separate collection of unstandardized dialects, with roughly 4.35–7.15 million native speakers and probably 6.7–10 million people who can understand it
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Nepal
Nepal (; ne, :ne:नेपाल, नेपाल ), formerly the Federal Democratic Republic of Nepal ( ne, सङ्घीय लोकतान्त्रिक गणतन्त्र नेपाल ), is a landlocked country in South Asia. It is mainly situated in the Himalayas, but also includes parts of the Indo-Gangetic Plain, bordering the Tibet Autonomous Region of China China–Nepal border, to the north, and India India–Nepal border, in the south, east, and west, while it is narrowly separated from Bangladesh by the Siliguri Corridor, and from Bhutan by the States and union territories of India, Indian state of Sikkim. Nepal has a Geography of Nepal, diverse geography, including Terai, fertile plains, subalpine forested hills, and eight of the world's ten List of highest mountains#List, tallest mountains, including Mount Everest, the highest point on Earth. Nepal is a multi-ethnic, multi-lingual, multi-religious and multi-cultural state, with Nepali langua ...
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Gwandara Language
Gwandara is a West Chadic language, and the closest relative of Hausa. Its several dialects are spoken in northern Nigeria, predominantly in the north central region of Nigeria by the Gwandara people and some settlers who are about 30,000 people. They are found in large numbers in Abuja, Niger, Kaduna, Kogi and a resettlement town of New Karshi, Karu LGA, Nasarawa State. New Karshi has a Gwandara first class emir Muhammadu Bako III (PhD). The Gwandara people are one of the indigenous tribes of FCT Abuja, the capital city of Nigeria. The Nimbia dialect has a duodecimal numeral system (they count in base 12), whereas other dialects, such as Karshi below, have decimal systems: It is thought that Nimbia, which is isolated from the rest of Gwandara, acquired its duodecimal system from neighboring East Kainji languages. It is duodecimal even to powers of base twelve: The Nimbia 12 number set number system is known for making division easier. References Language ...
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Piti Language
Piti (Pitti, Bishi, Bisi) is a minor Kainji language of Kaduna State, Nigeria Nigeria ( ), , ig, Naìjíríyà, yo, Nàìjíríà, pcm, Naijá , ff, Naajeeriya, kcg, Naijeriya officially the Federal Republic of Nigeria, is a country in West Africa. It is situated between the Sahel to the north and the Gulf o .... Bishi speakers live in at least 26 villages. Ngmgbang (Riban, Rigmgbang) was formerly listed as a dialect of Bishi, but is clearly a distinct although related language. It is spoken in a few villages in Kaduna State. References East Kainji languages Languages of Nigeria {{Kainji-lang-stub ...
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Gbiri-Niragu Language
Aniragu, also known as Kahugu. Numerals Gbiri-Niragu has, or had, a duodecimal The duodecimal system (also known as base 12, dozenal, or, rarely, uncial) is a positional notation numeral system using twelve as its base. The number twelve (that is, the number written as "12" in the decimal numerical system) is instead wr ... number system. References East Kainji languages Languages of Nigeria {{Kainji-lang-stub ...
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Janji Language
Janji is a Kainji language of Nigeria. Numerals Janji has, or had, a duodecimal number system A number is a mathematical object used to count, measure, and label. The original examples are the natural numbers 1, 2, 3, 4, and so forth. Numbers can be represented in language with number words. More universally, individual numbers can .... References East Kainji languages Languages of Nigeria {{Kainji-lang-stub ...
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Nigeria
Nigeria ( ), , ig, Naìjíríyà, yo, Nàìjíríà, pcm, Naijá , ff, Naajeeriya, kcg, Naijeriya officially the Federal Republic of Nigeria, is a country in West Africa. It is situated between the Sahel to the north and the Gulf of Guinea to the south in the Atlantic Ocean. It covers an area of , and with a population of over 225 million, it is the most populous country in Africa, and the world's sixth-most populous country. Nigeria borders Niger in the north, Chad in the northeast, Cameroon in the east, and Benin in the west. Nigeria is a federal republic comprising of 36 states and the Federal Capital Territory, where the capital, Abuja, is located. The largest city in Nigeria is Lagos, one of the largest metropolitan areas in the world and the second-largest in Africa. Nigeria has been home to several indigenous pre-colonial states and kingdoms since the second millennium BC, with the Nok civilization in the 15th century BC, marking the first ...
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