111-472: A postal code (also known locally in various English-speaking countries throughout the world as a postcode , post code , PIN or ZIP Code ) is a series of letters or digits or both, sometimes including spaces or punctuation, included in a postal address for the purpose of sorting mail . As of August 2021, the Universal Postal Union lists 160 countries which require the use of
222-421: A Council General of 24 members elected by suffrage limited to heads of families. The Council General replaced the aristocratic oligarchy that previously ruled the state. The New Reform ( Nova Reforma ) began after ratification by both Co-Princes and established the basis of the constitution and symbols – such as the tricolour flag – of Andorra. A new service economy arose as
333-432: A GDP per capita and a life expectancy higher than the most standard countries of the current economy. Given its relative isolation, Andorra has existed outside the mainstream of European history, with few ties to countries other than France, Spain and Portugal . But in recent times its thriving tourist industry, along with developments in transport and communications, have removed the country from its isolation. Since 1976
444-669: A certain code. See also postcode lottery . In Brazil the 8-digit postcodes are an evolution of the five-digit area postal codes. In the 1990s the Brazilian five-digit postal code (illustrated), DDDDD , received a three-digit suffix DDDDD-SSS , but this suffix is not directly related to the administrative district hierarchy. The suffix was created only for logistic reasons. The postal code assignment can be assigned to individual land lots in some special cases – in Brazil, they are named "large receivers" and receive suffixes 900–959. It
555-733: A demand of the valley inhabitants and began to build infrastructure such as hotels, spa resorts, roads and telegraph lines. The authorities of the Co-Princes banned casinos and betting houses throughout the country. The ban resulted in an economic conflict and the Revolution of 1881, which began when revolutionaries assaulted the house of the syndic on 8 December 1880, and established the Provisional Revolutionary Council led by Joan Pla i Calvo and Pere Baró i Mas. The Provisional Revolutionary Council allowed for
666-458: A facility of positional notation that amounts to a modified decimal representation . Some advantages are cited for use of numerical digits that represent negative values. In 1840 Augustin-Louis Cauchy advocated use of signed-digit representation of numbers, and in 1928 Florian Cajori presented his collection of references for negative numerals . The concept of signed-digit representation has also been taken up in computer design . Despite
777-451: A letter. The outward postcode and the leading numeric of the inward postcode in combination forms a postal sector, and this usually corresponds to a couple of thousand properties. Numerical digit A numerical digit (often shortened to just digit ) or numeral is a single symbol used alone (such as "1"), or in combinations (such as "15"), to represent numbers in a positional numeral system . The name "digit" originates from
888-407: A numeral can be given by a simple calculation, which in itself is a complement to the logic behind numeral systems. The calculation involves the multiplication of the given digit by the base raised by the exponent n − 1 , where n represents the position of the digit from the separator; the value of n is positive (+), but this is only if the digit is to the left of the separator. And to the right,
999-442: A numeric postcode format of four or five digits is commonly used) the numeric postal code is sometimes prefixed with a country code when sending international mail to that country. Postal services have their own formats and placement rules for postal codes. In most English-speaking countries, the postal code forms the last item of the address, following the city or town name, whereas in most continental European countries it precedes
1110-406: A portmanteau of the term "binary digit". The ternary and balanced ternary systems have sometimes been used. They are both base 3 systems. Balanced ternary is unusual in having the digit values 1, 0 and –1. Balanced ternary turns out to have some useful properties and the system has been used in the experimental Russian Setun computers. Several authors in the last 300 years have noted
1221-606: A postal code. Although postal codes are usually assigned to geographical areas, special codes are sometimes assigned to individual addresses or to institutions that receive large volumes of mail, such as government agencies and large commercial companies. One example is the French CEDEX system. There are a number of synonyms for postal code; some are country-specific: The development of postal codes happened first in large cities. Postal codes began with postal district numbers (or postal zone numbers) within large cities. London
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#17327796221651332-477: A quarter of a mile (400 metres) apart. The structure is alphanumeric, with the following six valid formats, as defined by BS 7666: There are always two halves: the separation between outward and inward postcodes is indicated by one space. The outward postcode covers a unique area and has two parts which may in total be two, three or four characters in length. A postcode area of one or two letters, followed by one or two numbers, followed in some parts of London by
1443-650: A result of a new postcode system being introduced. Some postal code systems, like those of Ecuador and Costa Rica , show an exact agreement with the hierarchy of administrative divisions . Format of six digit numeric (eight digit alphanumeric) postal codes in Ecuador , introduced in December 2007: ECAABBCC Format of five digit numeric Postal codes in Costa Rica , introduced in 2007: ABBCC In Costa Rica these codes were originally used as district identifiers by
1554-592: A shell symbol to represent zero. Numerals were written vertically, with the ones place at the bottom. The Mayas had no equivalent of the modern decimal separator , so their system could not represent fractions. The Thai numeral system is identical to the Hindu–Arabic numeral system except for the symbols used to represent digits. The use of these digits is less common in Thailand than it once was, but they are still used alongside Arabic numerals. The rod numerals,
1665-575: A single exception, these codes are in the format: ANN XXXX The single exception is the Dublin D6W postal district. It is the only routing key area in the country that takes the format ANA instead of ANN: D6W XXXX While it is not intended to replace addresses, in theory simply providing a seven-character Eircode would locate any Irish delivery address. For example, the Irish Parliament Dáil Éireann is: D02 A272 Postal codes in
1776-473: A social health insurance system was created ( CASS ). The Andorran government necessarily involved planning, projection and forecasts for the future: with the official visit of the French co-prince Charles de Gaulle in 1967 and 1969, it was given approval for the economic boom and national demands within the framework of human rights and international openness. Andorra experienced an era commonly known as
1887-487: A system of 27 upper body locations to represent numbers. To preserve numerical information, tallies carved in wood, bone, and stone have been used since prehistoric times. Stone age cultures, including ancient indigenous American groups, used tallies for gambling, personal services, and trade-goods. A method of preserving numeric information in clay was invented by the Sumerians between 8000 and 3500 BC. This
1998-583: A territory is the Acta de Consagració i Dotació de la Catedral de la Seu d'Urgell (Deed of Consecration and Endowment of the Cathedral of La Seu d'Urgell). The document, dated 839, depicts the six old parishes of the Andorran valleys that made up the country's administrative division. Before 1095, Andorra had no military protection, and the bishop of Urgell, who knew that the count of Urgell wanted to reclaim
2109-443: A unique, six-digit postal code . For domestic properties, an individual postcode may cover up to 100 properties in contiguous proximity (e.g. a short section of a populous road, or a group of less populous neighbouring roads). The postcode together with the number or name of a property is not always unique, particularly in rural areas. For example, GL20 8NX/1 might refer to either 1 Frampton Cottages or 1 Frampton Farm Cottages, roughly
2220-439: A value. The value of the numeral is computed by multiplying each digit in the sequence by its place value, and summing the results. Each digit in a number system represents an integer. For example, in decimal the digit "1" represents the integer one , and in the hexadecimal system, the letter "A" represents the number ten . A positional number system has one unique digit for each integer from zero up to, but not including,
2331-794: A vast land which is located among mountains or a thickly wooded place (with ad- being the definite article ). When the Moors conquered the Iberian Peninsula, the valleys of the High Pyrenees were covered by large tracts of forest. These regions were not administered by Muslims , because of the geographic difficulty of direct rule. Other theories suggest that the term derives from the Navarro-Aragonese "andurrial", which means "land covered with bushes" or "scrubland". The folk etymology holds that Charlemagne had named
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#17327796221652442-524: A zero sometimes the digits were marked with dots to indicate their significance, or a space was used as a placeholder. The first widely acknowledged use of zero was in 876. The original numerals were very similar to the modern ones, even down to the glyphs used to represent digits. By the 13th century, Western Arabic numerals were accepted in European mathematical circles ( Fibonacci used them in his Liber Abaci ). They began to enter common use in
2553-647: A zone plan to a zone improvement plan, "ZIP". Modern postal codes were first introduced in the Ukrainian Soviet Socialist Republic in December 1932, but the system was abandoned in 1939. The next country to introduce postal codes was Germany in 1941, followed by Singapore in 1950, Argentina in 1958, the United States in 1963 and Switzerland in 1964. The United Kingdom began introducing its current system in Norwich in 1959, but it
2664-401: Is a repdigit. The primality of repunits is of interest to mathematicians. Palindromic numbers are numbers that read the same when their digits are reversed. A Lychrel number is a positive integer that never yields a palindromic number when subjected to the iterative process of being added to itself with digits reversed. The question of whether there are any Lychrel numbers in base 10
2775-600: Is an error to associate the postal code with the whole land lot area (illustrated). A postal code is often related to a land lot , but postal codes are usually related to access points on streets. Small or middle-sized houses, in general, only have a single main gate, which is the delivery point. Parks, large businesses such as shopping centers and big houses, may have more than one entrance and more than one delivery point. Czechoslovakia introduced Postal Routing Numbers (PSČ – poštovní směrovací čísla) in 1973. The code consists of 5 digits formatted into two groups: NNN NN. Originally,
2886-399: Is an open problem in recreational mathematics ; the smallest candidate is 196 . Counting aids, especially the use of body parts (counting on fingers), were certainly used in prehistoric times as today. There are many variations. Besides counting ten fingers, some cultures have counted knuckles, the space between fingers, and toes as well as fingers. The Oksapmin culture of New Guinea uses
2997-649: Is not a member state of the European Union . It has been a member of the United Nations since 1993. The origin of the word Andorra is unknown, although several hypotheses have been proposed. The oldest is one put forward by the Greek historian Polybius ( The Histories III, 35, 1), who describes the Andosins, an Iberian Pre-Roman tribe , as historically located in the valleys of Andorra and facing
3108-541: Is obtained. Casting out nines is a procedure for checking arithmetic done by hand. To describe it, let f ( x ) {\displaystyle f(x)} represent the digital root of x {\displaystyle x} , as described above. Casting out nines makes use of the fact that if A + B = C {\displaystyle A+B=C} , then f ( f ( A ) + f ( B ) ) = f ( C ) {\displaystyle f(f(A)+f(B))=f(C)} . In
3219-717: Is recorded from the 2nd century BCE to the 5th century CE. The places with the most Roman presence are in Camp Vermell (Red Field) in Sant Julià de Lòria , and in some places in Encamp and in the Roc d'Enclar. People continued trading, mainly with wine and cereals, with the Roman cities of Urgellet (the present-day La Seu d'Urgell ) and across Segre through the via romana Strata Ceretana (also known as Strata Confluetana). After
3330-476: Is sometimes used in digital signal processing . The oldest Greek system was that of the Attic numerals , but in the 4th century BC they began to use a quasidecimal alphabetic system (see Greek numerals ). Jews began using a similar system ( Hebrew numerals ), with the oldest examples known being coins from around 100 BC. The Roman empire used tallies written on wax, papyrus and stone, and roughly followed
3441-532: Is still used in modern societies to measure time (minutes per hour) and angles (degrees). In China , armies and provisions were counted using modular tallies of prime numbers . Unique numbers of troops and measures of rice appear as unique combinations of these tallies. A great convenience of modular arithmetic is that it is easy to multiply. This makes use of modular arithmetic for provisions especially attractive. Conventional tallies are quite difficult to multiply and divide. In modern times modular arithmetic
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3552-650: Is the French Cedex system. Before postal codes as described here were used, large cities were often divided into postal zones or postal districts, usually numbered from 1 upwards within each city. The newer postal code systems often incorporate the old zone numbers, as with London postal district numbers, for example. Ireland still uses postal district numbers in Dublin . In New Zealand, Auckland , Wellington and Christchurch were divided into postal zones, but these fell into disuse, and have now become redundant as
3663-528: Is the world's 16th-smallest country by land and 11th-smallest by population . Its capital, Andorra la Vella, is the highest capital city in Europe, at an elevation of 1,023 metres (3,356 feet) above sea level . The official language is Catalan , but Spanish , Portuguese , and French are also commonly spoken. Tourism in Andorra brings approximately 8 million visitors to the country annually. Andorra
3774-825: The Aquitanian , Basque and Iberian languages , the locals developed some current toponyms. Early writings and documents relating to this group of people goes back to the second century BC by the Greek writer Polybius in his Histories during the Punic Wars . Some of the most significant remains of this era are the Castle of the Roc d'Enclar (part of the early Marca Hispanica ), l'Anxiu in Les Escaldes and Roc de L'Oral in Encamp . The presence of Roman influence
3885-727: The Carthaginian army in its passage through the Pyrenees during the Punic Wars . The word Andosini or Andosins ( Ἀνδοσίνοι ) may derive from the Basque handia , meaning "big" or "giant". The Andorran toponymy shows evidence of Basque language in the area. Another theory suggests that the word Andorra may derive from the old word Anorra that contains the Basque word ur ("water"). Another theory suggests that Andorra may derive from Arabic ad-dārra ( الدَّارَة ), indicating
3996-814: The National Institute of Statistics and Census of Costa Rica and the Administrative Territorial Division , and continue to be equivalent. The first two digits of the postal codes in Turkey correspond to the provinces and each province has assigned only one number. They are the same for them as in ISO 3166-2:TR . The first two digits of the postal codes in Vietnam indicate a province . Some provinces have one, other have several two digit numbers assigned. The numbers differ from
4107-573: The Nazi occupation in World War II . Postal codes in Canada do not include the letters D, F, I, O, Q, or U, as the optical character recognition (OCR) equipment used in automated sorting could easily confuse them with other letters and digits. The letters W and Z are used, but are not currently used as the first letter. The Canadian Postal Codes use alternate letters and numbers (with a space after
4218-749: The Northwest Territories and Nunavut share the letter X. The first two digits of the postal codes in Germany define areas independently of administrative regions. The coding space of the first digit is fully used (0–9); that of the first two combined is utilized to 89%, i.e. there are 89 postal zones defined. Zone 11 is non-geographic. Royal Mail designed the postal codes in the United Kingdom mostly for efficient distribution. Nevertheless, people associated codes with certain areas, leading to some people wanting or not wanting to have
4329-480: The Peninsular War ( Guerra Peninsular ) and divided the region into four départements , with Andorra as a part of the district of Puigcerdà . In 1814, an imperial decree reestablished the independence and economy of Andorra. During this period, Andorra's late medieval institutions and rural culture remained largely unchanged. In 1866, the syndic Guillem d'Areny-Plandolit led the reformist group in
4440-666: The Principality of Andorra , is a sovereign landlocked country on the Iberian Peninsula , in the eastern Pyrenees in Western Europe, bordered by France to the north and Spain to the south . Believed to have been created by Charlemagne , Andorra was ruled by the count of Urgell until 988, when it was transferred to the Roman Catholic Diocese of Urgell . The present principality
4551-469: The binary system (base 2) requires only two digits (0 and 1). By extension, bases greater than 10 (i.e., hexadecimal ) require more digit symbols, and so most often borrow from the Latin alphabet (e.g., "A0" in hex is "160" in decimal). In a basic digital system, a numeral is a sequence of digits, which may be of arbitrary length. Each position in the sequence has a place value , and each digit has
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4662-772: The fall of the Roman Empire , Andorra came under the influence of the Visigoths , the Kingdom of Toledo , and the Diocese of Urgell . The Visigoths remained in the valleys for 200 years, during which time Christianity spread. When the Muslim Empire of Al-Andalus replaced the ruling Visigoths in most of the Iberian Peninsula, Andorra was sheltered from these Arab invaders by the Franks . Tradition holds that Charles
4773-425: The radix of the number system. Thus in the positional decimal system, the numbers 0 to 9 can be expressed using their respective numerals "0" to "9" in the rightmost "units" position. The number 12 is expressed with the numeral "2" in the units position, and with the numeral "1" in the "tens" position, to the left of the "2" while the number 312 is expressed with three numerals: "3" in the "hundreds" position, "1" in
4884-620: The "Andorran dream" (similar to the American Dream ) along with the Trente Glorieuses : the mass culture rooted the country experiencing radical changes in the economy and culture. Proof of this was Ràdio Andorra , the top musical radio station in Europe in this period, with guests and speakers of great importance promoting musical hits of chanson française , swing , rhythm & blues , jazz , rock and roll and American country music . During this period Andorra achieved
4995-482: The "tens" position, and "2" in the "units" position. The decimal numeral system uses a decimal separator , commonly a period in English, or a comma in other European languages, to denote the "ones place" or "units place", which has a place value one. Each successive place to the left of this has a place value equal to the place value of the previous digit times the base . Similarly, each successive place to
5106-514: The 15th century. By the end of the 20th century virtually all non-computerized calculations in the world were done with Arabic numerals, which have replaced native numeral systems in most cultures. The exact age of the Maya numerals is unclear, but it is possible that it is older than the Hindu–Arabic system. The system was vigesimal (base 20), so it has twenty digits. The Mayas used
5217-558: The 1920s, possibly implemented at the local post office level only (for example, instances of "Boston 9, Mass" in 1920 are attested) although they were evidently not used throughout all major US cities (implemented USPOD -wide) until World War II . By 1930 or earlier, the idea of extending the postal district or zone numbering plans beyond large cities to cover even small towns and rural locales had started. These developed into postal codes as they are defined today. The name of US postal codes, "ZIP Codes", reflects this evolutionary growth from
5328-446: The 1930s, with the construction of FHASA and the creation of professional banking with Banc Agrícol (1930) and Crèdit Andorrà (1949), later with Banca Mora (1952), Banca Cassany (1958) and SOBANCA (1960). Shortly after, activities such as skiing and shopping become a tourist attraction, with the inauguration of ski resorts and cultural entities in the late 1930s. All in all, a renovated hotel industry has developed. In April 1968
5439-566: The 9th through 14th centuries, particularly in the construction of churches, bridges, religious murals and statues of the Virgin and Child ( Our Lady of Meritxell being the most important). Nowadays, the Romanesque buildings that form part of Andorra's cultural heritage stand out in a remarkable way, with an emphasis on Església de Sant Esteve , Sant Joan de Caselles , Església de Sant Miquel d'Engolasters , Sant Martí de la Cortinada and
5550-487: The Andorran valleys, asked the Lord of Caboet for help and protection. In 1095, the lord of Caboet and the bishop of Urgell signed under oath a declaration of their co-sovereignty over Andorra. Arnalda de Caboet , daughter of Arnau of Caboet, married the viscount of Castellbò. Their daughter, Ermessenda de Castellbò , married the count of Foix , Roger-Bernard II . Roger-Bernard II and Ermessenda shared rule over Andorra with
5661-832: The Busquets family. Inside the parliament was placed the Closet of the six keys (Armari de les sis claus), representative of each Andorran parish, where the Andorran constitution and other documents and laws were later kept. In both the Reapers' War and the War of the Spanish Succession , the Andorran people (while professing to be a neutral country) supported the Catalans who saw their rights reduced in 1716 . The reaction
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#17327796221655772-526: The Catalan or foreign public even within Andorra. Andorran Group (Agrupament Andorrà), an anti-fascist organization linked to the Occitanie's French Resistance , accused the French representative (veguer) of collaboration with Nazism . The Andorran opening to the capitalist economy resulted in two axes: mass tourism and the country's tax exemption. The first steps toward the capitalist boom date from
5883-476: The French head of state) and the bishop of Urgell, in Catalonia . This gave the principality its territory and political form. A second paréage was signed in 1288 after a dispute when the count of Foix ordered the construction of a castle in Roc d'Enclar. The document was ratified by the noble notary Jaume Orig of Puigcerdà , and construction of military structures in the country was prohibited. In 1364,
5994-781: The Great (Charlemagne) granted a charter to the Andorran people for a contingent of 5,000 soldiers under the command of Marc Almugaver, in return for fighting against the Moors near Porté-Puymorens ( Cerdanya ). Andorra remained part of the Frankish Marca Hispanica , the buffer zone between the Frankish Empire and the Muslim territories, Andorra being part of the territory ruled by the Count of Urgell and eventually
6105-534: The Greek custom of assigning letters to various numbers. The Roman numerals system remained in common use in Europe until positional notation came into common use in the 16th century. The Maya of Central America used a mixed base 18 and base 20 system, possibly inherited from the Olmec , including advanced features such as positional notation and a zero . They used this system to make advanced astronomical calculations, including highly accurate calculations of
6216-605: The Grenadines . ISO 3166-1 alpha-2 country codes were recommended by the European Committee for Standardization as well as the Universal Postal Union to be used in conjunction with postal codes starting in 1994, but they have not become widely used. Andorra , Azerbaijan , Barbados , Ecuador , Latvia and Saint Vincent and the Grenadines use the ISO 3166-1 alpha-2 as a prefix in their postal codes. In some countries (such as in continental Europe , where
6327-456: The Netherlands , known as postcodes, are alphanumeric, consisting of four digits followed by a space and two letters (NNNN AA). Adding the house number to the postcode will identify the address, making the street name and town name redundant. For example: 2597 GV 75 will direct a postal delivery to Theo Mann-Bouwmeesterlaan 75, 's-Gravenhage (the International School of The Hague). Since 1 September 1995, every building in Singapore has been given
6438-426: The Tombs of Segudet ( Ordino ) and Feixa del Moro (Sant Julià de Lòria), both dated in 4900–4300 BCE as an example of the Urn culture in Andorra. The model of small settlements began to evolve to complex urbanism during the Bronze Age . Metallurgical items of iron, ancient coins, and reliquaries can be found in the ancient sanctuaries scattered around the country. The sanctuary of Roc de les Bruixes (Stone of
6549-517: The Valleys) was founded in 1419, the second oldest parliament in Europe. The syndic Andreu d'Alàs and the General Council organized the creation of the Justice Courts (La Cort de Justicia) in 1433 with the co-princes and the collection of taxes like foc i lloc (literally "fire and site", a national tax active since then). Although there are remains of ecclesiastical works dating before the 9th century (Sant Vicenç d'Enclar or Església de Santa Coloma ), Andorra developed exquisite Romanesque Art during
6660-432: The Witches) is perhaps the most important archeological complex of this age in Andorra, located in the parish of Canillo , about the rituals of funerals, ancient scripture and engraved stone murals . The inhabitants of the valleys were traditionally associated with the Iberians and historically located in Andorra as the Iberian tribe Andosins or Andosini ( Ἀνδοσίνους ) during the 7th and 2nd centuries BC. Influenced by
6771-416: The aftermath of the 1933 Revolution. During the Spanish Civil War, the inhabitants of Andorra welcomed refugees from both sides, and many of them settled permanently in the country thus contributing to the subsequent economic boom and the entry into the capitalist era of Andorra. Francoist troops reached the Andorran border in the later stages of the war. During World War II, Andorra remained neutral and
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#17327796221656882-422: The area , in the context of the Reformation and Counter-Reformation . With the passage of time, the co-title to Andorra passed to the kings of Navarre . After Henry III of Navarre became king of France , he issued an edict in 1607 that established the head of the French state and the bishop of Urgell as Co-Princes of Andorra , a political arrangement that still holds. During 1617, communal councils form
6993-443: The bishop of Urgell. In the 13th century, a military dispute arose between the bishop of Urgell and the count of Foix as aftermath of the Cathar Crusade . The conflict was resolved in 1278 with the mediation of the king of Aragon , Peter III , between the bishop and the count, by the signing of the first paréage , which provided that Andorra's sovereignty be shared between the count of Foix (whose title would ultimately transfer to
7104-475: The bishop of the Diocese of Urgell. Tradition also holds that it was guaranteed by the son of Charlemagne, Louis the Pious , writing the Carta de Poblament or a local municipal charter c. 805 . In 988, Count Borrell II of Urgell gave the Andorran valleys to the Diocese of Urgell in exchange for land in Cerdanya . Since then, the bishop of Urgell, based in Seu d'Urgell, has been co-prince of Andorra. The first document that mentions Andorra as
7215-501: The capital city there was a smuggling black market of propaganda, culture and cinematic art not favorable to totalitarian regimes, promulgated in such places as the Hotel Mirador or the Casino Hotel, as a meeting place for Free French forces and a route for escorting crashed Allied pilots out of Europe. The network was maintained after the war, when film societies were formed, where movies, music and books censored in Franco's Spain were imported, becoming an anti-censorship attraction for
7326-489: The complete Indian system with the zero was derived from the Arabs in the 12th century. The binary system (base 2) was propagated in the 17th century by Gottfried Leibniz . Leibniz had developed the concept early in his career, and had revisited it when he reviewed a copy of the I Ching from China. Binary numbers came into common use in the 20th century because of computer applications. Andorra in Europe (dark grey) Andorra , officially
7437-432: The construction of casinos and spas by foreign companies. From 7 to 9 June 1881, the loyalists of Canillo and Encamp reconquered the parishes of Ordino and La Massana by establishing contact with the revolutionary forces in Escaldes-Engordany . After a day of combat the Treaty of the Bridge of Escalls was signed on 10 June. The council was replaced and new elections were held. The economic situation worsened, as
7548-429: The conventions of the Hindu–Arabic numeral system . The binary system uses only the digits "0" and "1", while the octal system uses the digits from "0" through "7". The hexadecimal system uses all the digits from the decimal system, plus the letters "A" through "F", which represent the numbers 10 to 15 respectively. When the binary system is used, the term "bit(s)" is typically used as an alternative for "digit(s)", being
7659-399: The country and wealth through the establishment of a tax haven and foreign investments, received the support of the members of the General Council to proclaim himself the sovereign of Andorra. On 8 July 1934 Boris issued a proclamation in Urgell, declaring himself Boris I, King of Andorra, simultaneously declaring war on the Bishop of Urgell and approving the King's constitution on 10 July. He
7770-401: The country has seen the need to reform Andorran institutions due to anachronisms in sovereignty, human rights and the balance of powers as well as the need to adapt legislation to modern demands. In 1982 a first separation of powers took place when instituting the Govern d'Andorra, under the name of the executive board (Consell Executiu), chaired by the first prime minister Òscar Ribas Reig with
7881-417: The country was characterized by the social system of prohoms (wealthy society) and casalers (rest of the population with smaller economic acquisition), deriving from the tradition of pubilla and hereu . Three centuries after its foundation, the Consell de la Terra located its headquarters and the Tribunal de Corts in Casa de la Vall in 1702. The manor house built in 1580 served as a noble fortress of
7992-466: The digit is multiplied by the base raised by a negative (−) n . For example, in the number 10.34 (written in base 10), The first true written positional numeral system is considered to be the Hindu–Arabic numeral system . This system was established by the 7th century in India, but was not yet in its modern form because the use of the digit zero had not yet been widely accepted. Instead of
8103-632: The end of the 11th century, the first iron foundries began to appear in Northern Parishes like Ordino , much appreciated by the master artisans who developed the art of the forges, an important economic activity in the country from the 15th century. In 1601 the Tribunal de Corts (High Court of Justice) was created as a result of Huguenot rebellions in France , Inquisition courts coming from Spain and witchcraft-related beliefs native to
8214-417: The essential role of digits in describing numbers, they are relatively unimportant to modern mathematics . Nevertheless, there are a few important mathematical concepts that make use of the representation of a number as a sequence of digits. The digital root is the single-digit number obtained by summing the digits of a given number, then summing the digits of the result, and so on until a single-digit number
8325-459: The fact that the ten digits ( Latin digiti meaning fingers) of the hands correspond to the ten Arabic symbols of the common base 10 numeral system, i.e. the decimal (ancient Latin adjective decem meaning 'ten') digits. For a given numeral system with an integer base , the number of different digits required is given by the absolute value of the base. For example, the decimal system (base 10) requires ten digits (0 to 9), whereas
8436-435: The first group marked a district transport centre, the second group represented the order of post offices on the collection route. In the first group, the first digit corresponds partly with the region, the second digit meant a collection transport node (sběrný přepravní uzel, SPU) and the third digit a "district transport node" (okresní přepravní uzel). However, processing was later centralized and mechanized while codes remained
8547-467: The introduction of tobacco circa 1692 and import trade. In 1371 and 1448, the co-princes ratified the fair of Andorra la Vella, the most important annual national festival commercially ever since. The country had a unique and experienced guild of weavers, Confraria de Paraires i Teixidors, in Escaldes-Engordany . Founded in 1604, it took advantage of the local thermal waters. By this time,
8658-560: The length of the solar year and the orbit of Venus . The Incan Empire ran a large command economy using quipu , tallies made by knotting colored fibers. Knowledge of the encodings of the knots and colors was suppressed by the Spanish conquistadors in the 16th century, and has not survived although simple quipu-like recording devices are still used in the Andean region. Some authorities believe that positional arithmetic began with
8769-572: The medieval bridges of Margineda and Escalls among many others. The Catalan Pyrenees were embryonic of the Catalan language at the end of the 11th century. Andorra was influenced by this language, which was adopted locally decades before it expanded to the rest of the Crown of Aragon. The local economy during the Middle Ages was based on livestock, agriculture, furs and weavers. Later, at
8880-642: The name of the city or town. When it follows the city, it may be on the same line or on a new line. In Belarus , Kyrgyzstan , Russia and Turkmenistan , it is written at the beginning of an address. In Japan , it is written at the start of the address when written in Japanese, but at the end when the address is written in the Latin alphabet. Postal codes are usually assigned to geographical areas. Sometimes codes are assigned to individual addresses or to institutions that receive large volumes of mail, e.g. government agencies or large commercial companies. One example
8991-703: The national consciousness of the valleys was exposed in the romantic work during the Peninsular War. In 1933 France occupied Andorra following social unrest which occurred before elections due to the Revolution of 1933 and the FHASA strikes (Vagues de FHASA); the revolt led by Joves Andorrans (a labour union group related to the Spanish CNT and FAI ) called for political reforms, the universal suffrage vote of all Andorrans and acted in defense of
9102-522: The new postal code system launched in 2015, known as Eircode provides a unique 7-character alphanumerical code for each individual address. The first three digits are the routing key, which is a postal district and the last four characters are a unique identifier that relates to an individual address (business, house or apartment). A fully developed API is also available for integrating the Eircode database into business databases and logistics systems. With
9213-537: The number of a neighbouring department. The first digit of the postal codes in the United States comprises discrete states. From the first three digits one can infer the state, with a few exceptions where an area is served by a central office in an adjacent state. Similarly, in Canada , the first letter indicates the province or territory, although the provinces of Quebec and Ontario are divided into several lettered sub-regions (e.g. H for Montreal and Laval ), and
9324-462: The number used in ISO 3166-2:VN . In France the numeric code for the departments is used as the first two digits of the postal code, except for the two departments in Corsica that have codes 2A and 2B and use 20 as postal code. Furthermore, the codes are only the codes for the department in charge of delivery of the post, so it can be that a location in one department has a postal code starting with
9435-526: The official language, Catalan. Romantic authors from France and Spain reported the awakening of the national consciousness of the country. Jacint Verdaguer lived in Ordino during the 1880s where he wrote and shared works related to the Renaixença with writer and photographer Joaquim de Riba . In 1848, Fromental Halévy had premiered the opera Le val d'Andorre to great success in Europe, where
9546-516: The political organization of the country named the figure of the syndic (now spokesman and president of the parliament) as representative of the Andorrans to their co-princes, making possible the creation of local departments (comuns, quarts and veïnats). After being ratified by Bishop Francesc Tovia and Count John I , the Consell de la Terra or Consell General de les Valls (General Council of
9657-614: The populace was divided over the Qüestió d'Andorra – the "Andorran Question" in relation to the Eastern Question . The struggles continued between pro-bishops, pro-French, and nationalists based on the troubles of Canillo in 1882 and 1885. Andorra participated in the cultural movement of the Catalan Renaixença . Between 1882 and 1887, the first academic schools were formed where trilingualism coexisted with
9768-429: The process of casting out nines, both sides of the latter equation are computed, and if they are not equal, the original addition must have been faulty. Repunits are integers that are represented with only the digit 1. For example, 1111 (one thousand, one hundred and eleven) is a repunit. Repdigits are a generalization of repunits; they are integers represented by repeated instances of the same digit. For example, 333
9879-828: The protection of its sovereignty. Andorra was relatively unscathed by the two world wars and the Spanish Civil War. Certain groups formed to help victims of oppression in Nazi -occupied countries, while participating in smuggling to help Andorra survive. Among the most prominent was the Hostal Palanques Evasion Network Command, which, in contact with the British MI6 , helped almost 400 fugitives, among whom were Allied military personnel. The Command remained active between 1941 and 1944, although there were struggles with pro-Axis informers and Gestapo agents in Andorra. In
9990-649: The region as a reference to the Biblical Canaanite valley of Endor or Andor (where the Midianites had been defeated), a name bestowed by his heir and son Louis the Pious after defeating the Moors in the "wild valleys of Hell". La Balma de la Margineda , found by archaeologists at Sant Julià de Lòria , was settled in 9,500 BCE as a passing place between the two sides of the Pyrenees. The seasonal camp
10101-417: The right of the separator has a place value equal to the place value of the previous digit divided by the base. For example, in the numeral 10.34 (written in base 10 ), The total value of the number is 1 ten, 0 ones, 3 tenths, and 4 hundredths. The zero, which contributes no value to the number, indicates that the 1 is in the tens place rather than the ones place. The place value of any given digit in
10212-623: The rights of local and foreign workers during the construction of FHASA's hydroelectric power station in Encamp . On 5 April 1933 Joves Andorrans seized the Andorran Parliament. These actions were preceded by the arrival of Colonel René-Jules Baulard with 50 gendarmes and the mobilization of 200 local militias or sometent led by the Síndic Francesc Cairat. On 6 July 1934, adventurer and nobleman Boris Skossyreff , with his promise of freedoms and modernization of
10323-413: The round stylus was gradually replaced by a reed stylus that was used to press wedge-shaped cuneiform signs in clay. These cuneiform number signs resembled the round number signs they replaced and retained the additive sign-value notation of the round number signs. These systems gradually converged on a common sexagesimal number system; this was a place-value system consisting of only two impressed marks,
10434-481: The same number of characters, encode many more locations. For example, while a two digit numeric code can represent 100 locations, a two character alphanumeric code using ten numbers and twenty letters can represent 900 locations. The independent nations using alphanumeric postal code systems are: Countries which prefix their postal codes with a fixed group of letters, indicating a country code, include Andorra , Azerbaijan , Barbados , Ecuador and Saint Vincent and
10545-533: The same. After separation, Slovakia and the Czech Republic kept the system. Codes with an initial digit of 1, 2, 3, 4, 5, 6, or 7 are used in the Czech Republic, while codes with an initial digit of 8, 9, or 0 are used in Slovakia A code corresponds to a local postal office. However, some larger companies or organizations have their own post codes. In 2004–2006, there were some efforts in Slovakia to reform
10656-406: The sometent (popular militia or army) to deal with the rise of bandolerisme ( brigandage ) and the Consell de la Terra was defined and structured in terms of its composition, organization and competences current today. Andorra continued with the same economic system that it had during the 12th–14th centuries with a large production of metallurgy (fargues, a system similar to Farga Catalana) and with
10767-553: The system, to get separate post codes for every district of single postmen, but the change was not realized. Postal codes are known as Postal Index Numbers (PINs; sometimes as PIN codes) in India. The PIN system was introduced on 15 August 1972 by India Post. India uses a unique six-digit code as a geographical number to identify locations in India. The format of the PIN is ZSDPPP defined as follows: The first digit represents nine total zones: eight regional and one functional. In Ireland,
10878-521: The third character) in this format: A9A 9A9 In Ireland, the eircode system uses the following letters only: A, C, D, E, F, H, K, N, P, R, T, V, W, X, Y. This serves to avoid confusion in OCR, and to avoid accidental double-entendres by avoiding the creation of word lookalikes, as Eircode's last four characters are random. Most of the postal code systems are numeric; only a few are alphanumeric (i.e., use both letters and digits). Alphanumeric systems can, given
10989-495: The thriving trade between Islamic sultans and Africa carried the concept to Cairo . Arabic mathematicians extended the system to include decimal fractions , and Muḥammad ibn Mūsā al-Ḵwārizmī wrote an important work about it in the 9th century. The modern Arabic numerals were introduced to Europe with the translation of this work in the 12th century in Spain and Leonardo of Pisa 's Liber Abaci of 1201. In Europe,
11100-537: The vertical wedge and the chevron, which could also represent fractions. This sexagesimal number system was fully developed at the beginning of the Old Babylonia period (about 1950 BC) and became standard in Babylonia. Sexagesimal numerals were a mixed radix system that retained the alternating base 10 and base 6 in a sequence of cuneiform vertical wedges and chevrons. By 1950 BC, this
11211-496: The wide use of counting rods in China. The earliest written positional records seem to be rod calculus results in China around 400. Zero was first used in India in the 7th century CE by Brahmagupta . The modern positional Arabic numeral system was developed by mathematicians in India , and passed on to Muslim mathematicians , along with astronomical tables brought to Baghdad by an Indian ambassador around 773. From India ,
11322-445: The written forms of counting rods once used by Chinese and Japanese mathematicians, are a decimal positional system able to represent not only zero but also negative numbers. Counting rods themselves predate the Hindu–Arabic numeral system. The Suzhou numerals are variants of rod numerals. The binary (base 2), octal (base 8), and hexadecimal (base 16) systems, extensively used in computer science , all follow
11433-456: Was a positional notation system. Sexagesimal numerals came to be widely used in commerce, but were also used in astronomical and other calculations. This system was exported from Babylonia and used throughout Mesopotamia, and by every Mediterranean nation that used standard Babylonian units of measure and counting, including the Greeks, Romans and Egyptians. Babylonian-style sexagesimal numeration
11544-491: Was an important smuggling route between Vichy France and Francoist Spain. Many Andorrans criticized the passivity of the General Council for impeding both the entry and expulsion of foreigners and refugees, committing economic crimes, reducing the rights of citizens and sympathy with Francoism . General Council members justified the council's political and diplomatic actions as necessary for Andorra's survival and
11655-548: Was arrested by the Co-Prince and Bishop Justí Guitart i Vilardebó and their authorities on 20 July and ultimately expelled from Spain . From 1936 until 1940, a French military detachment of Garde Mobile led by well-known Colonel René-Jules Baulard was garrisoned in Andorra to secure the principality against disruption from the Spanish Civil War and Francoist Spain and also face the rise of Republicanism in
11766-505: Was done with small clay tokens of various shapes that were strung like beads on a string. Beginning about 3500 BC, clay tokens were gradually replaced by number signs impressed with a round stylus at different angles in clay tablets (originally containers for tokens) which were then baked. About 3100 BC, written numbers were dissociated from the things being counted and became abstract numerals. Between 2700 and 2000 BC, in Sumer,
11877-401: Was first subdivided into 10 districts in 1857 (EC (East Central), WC (West Central), N, NE, E, SE, S, SW, W, and NW), four were created to cover Liverpool in 1864; and Manchester / Salford was split into eight numbered districts in 1867/68. By World War I , such postal district or zone numbers also existed in various large European cities. They existed in the United States at least as late as
11988-503: Was formed by a charter in 1278 . It is currently headed by two co-princes: the Bishop of Urgell in Catalonia , Spain, and the president of France . Its capital and largest city is Andorra la Vella . Andorra is the sixth-smallest state in Europe , with an area of 468 square kilometres (181 sq mi) and a population of approximately 79,034. The Andorran people are a Romance ethnic group closely related to Catalans . Andorra
12099-529: Was not used nationwide until 1974. The characters used in postal codes are: Postal codes in the Netherlands originally did not use the letters 'F', 'I', 'O', 'Q', 'U' and 'Y' for technical reasons. But as almost all existing combinations are now used, these letters were allowed for new locations starting 2005. The letter combinations "SS" ( Schutzstaffel ), "SD" ( Sicherheitsdienst ), and "SA" ( Sturmabteilung ) are not used, due to links with
12210-610: Was perfectly located for hunting and fishing by the groups of hunter-gatherers from Ariege and Segre . During the Neolithic , a group of people moved to the Valley of Madriu (the present-day Natural Park located in Escaldes-Engordany declared UNESCO World Heritage Site ) as a permanent camp in 6640 BCE. The population of the valley grew cereals, raised domestic livestock, and developed commercial trade with people from Ségre and Occitania . Other archaeological deposits include
12321-728: Was the promotion of Catalan writings in Andorra, with cultural works such as the Book of Privileges ( Llibre de Privilegis de 1674 ), Manual Digest (1748) by Antoni Fiter i Rossell or the Polità andorrà (1763) by Antoni Puig. After the French Revolution , Napoleon I reestablished the Co-Principate in 1809 and removed the French medieval title. In 1812–1813, the First French Empire annexed Catalonia during
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