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rdf:type: yago:WikicatNumeralSystems yago:System104377057 yago:Artifact100021939 yago:Instrumentality103575240 yago:Whole100003553 yago:Object100002684 yago:PhysicalEntity100001930 yago:WikicatPositionalNumeralSystems
rdfs:label: BCD BCD BCD Kod BCD Décimal codé binaire Deachúil códaithe go dénártha (BCD) 이진화 십진법 Двійково-десятковий код Binary-coded decimal Desimal berkode biner BCD-Code 二進化十進表現 BCD-code Codificação binária decimal نظام عشري مشفر ثنائيا Двоично-десятичный код Binary-coded decimal 二進碼十進數 Decimal codificado en binario
rdfs:comment: Een BCD-code (Engels: afkorting voor binary-coded decimal) is een binaire code om decimale getallen op te slaan. Elk cijfer van het getal wordt gecodeerd door een groep van vier bits die een binaire representatie zijn van het betrokken cijfer. Een gevolg hiervan is dat de hexadecimale weergave van een getal in BCD-code er hetzelfde uitziet als de decimale variant. De meeste computersoftware maakt tegenwoordig gebruik van andere coderingen en de waarden voor de (decimale) weergave van getallen worden meestal rechtstreeks vanuit deze coderingen berekend. Двоично-десятичный код (англ. binary-coded decimal), BCD, 8421-BCD — форма записи рациональных чисел, когда каждый десятичный разряд числа записывается в виде его четырёхбитного двоичного кода. Таким образом, каждая тетрада двоично-десятичного числа может принимать значения от 00002 (010) до 10012 (910). Например, десятичное число 31110 будет записано в двоичной системе счисления в двоичном коде как 1 0011 01112, а в двоично-десятичном коде как 0011 0001 0001BCD. A codificação binária decimal e/ou codificação binária, também conhecida como BCD (Binary-coded decimal), é um sistema de numeração muito utilizado na Informática, assim como na Matemática, e em sistemas digitais eletrônicos. Estamos falando de um sistema de base dois e posicional, ou seja, trocando a ordem dos dígitos no número binário, o seu valor é alterado. Nele, é utilizado apenas dois algarismos: o 0 (zero) e o 1 (um). O BCD codifica o sistema decimal em binário, do números (decimais) 0 a 9, onde cada número é representado pelo seu equivalente binário. Is éard atá i gceist le Deachúil Códaithe go Dénártha (nó BCD) ná léiriú uimhriúil ina sanntar uimhir mar sheicheamh de dhigití deachúlacha agus ansin go n-ionchódaítear gach digit dheachúlach mar uimhir dhénártha ceithre ghiotán (leathbheart). Léirítear gach uimhir dheachúil (0-9) le sraith 4 ghiotán (digit dhénártha) dénártha. Mar shampla, d'ionchódófaí 92 deachúlach mar sheicheamh ocht ngiotán 1001 0010. I gcásanna áirithe, bíonn an comhartha (deimhneach nó diúltach) san áireamh sa leathbheart is faide ar dheis. Двійко́во-десятко́вий код (ДДК, англ. BCD, binary-coded decimal) — спосіб представлення десяткового числа, у якому кожній цифрі відповідає певна послідовність двійкових розрядів. Цей код (а точніше, його різновид 8421-ДДК) спрощує ввід/вивід числа у десятковому вигляді, використовується у калькуляторах та при роботі над числами з нерухомою комою (наприклад, з грішми) для забезпечення належної точності підрахунків. Реалізація BCD-арифметики досить проста, тому вона присутня у наборах інструкцій майже всіх мікропроцесорів та мікроконтролерів. Binary Coded Decimal (zkráceně BCD, dvojkově reprezentované dekadické číslo) je způsob kódování celých čísel s využitím pouze desítkových číslic (0-9), a to už na úrovni čtveřic bitů (nibblů) tím způsobem, že každý nibble odpovídá jedné desítkové číslici. Dalam komputasi dan sistem elektronik, desimal berkode biner (BCD) adalah sebuah kelas pengkodean biner dari bilangan desimal yang masing-masing digit dalam desimalnya diwakili oleh jumlah bit tetap, biasanya empat atau delapan. Pola-pola bit khusus ini kadang-kadang digunakan sebagai penanda atau untuk indikasi lain (misalnya kesalahan atau overflow). BCD (engelska: binary-coded decimal, "binärkodat decimalt") eller NBCD (engelska: natural binary-coded decimal, "naturligt kodat decimalt"), är sätt att representera tal i det decimala talsystemet som följder av ettor och nollor. Principen är att de tal som skall kodas delas in i decimala siffror (0–9) som sedan omkodas till motsvarande binära tal. Talet anges vanligen binärt med fyra bitar (en nibble) eller med fyra bitar i varje byte. De flesta processorarkitekturer har instruktioner för att direkt hantera BCD-tal, till exempel Motorola M68k och x86. BCD-Code steht im englischen für Binary Coded Decimal, also dualkodierte Dezimalziffer. Dabei wird jede dezimale Ziffer 0 bis 9 durch jeweils vier Bit dargestellt (0000 bis 1001, siehe Codetabelle), also in einem Halbbyte (Nibble). Eine andere Bezeichnung ist 8-4-2-1-BCD-Code. Die Ziffernfolge 8-4-2-1 steht dabei für die Werte der Stellen in einer dualkodierten Dezimalziffer. In einigen Fällen wird mit BCD die allgemeine Binärkodierung einzelner Dezimalziffern bezeichnet (siehe ). Der BCD-Code sollte nicht mit dem BCD-Zählcode verwechselt werden. 二進化十進数 (BCD、Binary-coded decimal ) とは、コンピュータにおける数値の表現方式の一つで、十進法の1桁を、0から9までを表す二進法の4桁で表したものである。「二進化十進符号」などとも呼ばれる。3増し符号など同じ目的の他の方式や、より一般的に、十進3桁を10ビットで表現するDensely packed decimalなども含めることもある。 En sistemas de computación, Binary-Coded Decimal (BCD) o Decimal codificado en binario es un estándar para representar números decimales en el sistema binario, en donde cada dígito decimal es codificado con una secuencia de 4 bits. Con esta codificación especial de los dígitos decimales en el sistema binario, se pueden realizar operaciones aritméticas como suma, resta, multiplicación y división. Cada dígito decimal tiene una representación binaria codificada con 4 bits: Decimal: 5 9 2 3 7BCD: 0101 1001 0010 0011 0111 1110011101100101 = 59237 في الحوسبة والأنظمة الإلكترونية النظام العشري المشفر ثنائيا (BCD Binary-Coded-Decimal ) هو ليس نظاما عددياً بحد ذاته، بل يمزج ما بين العشري والثنائي، وتعتمد عليه بعض الآلات الحاسبة . وكثير من الشرائح الإلكترونية، Le décimal codé binaire (DCB) (binary coded decimal ou BCD en anglais), est un système de numération utilisé en électronique numérique et en informatique pour coder des nombres en se rapprochant de la représentation humaine usuelle, en base 10. Dans ce format, les nombres sont représentés par un ou plusieurs chiffres compris entre 0 et 9, et chacun de ces chiffres est codé sur quatre bits : Chiffre Bits 0 0000 1 0001 2 0010 3 0011 4 0100 5 0101 6 0110 7 0111 8 1000 9 1001 In computing and electronic systems, binary-coded decimal (BCD) is a class of binary encodings of decimal numbers where each digit is represented by a fixed number of bits, usually four or eight. Sometimes, special bit patterns are used for a sign or other indications (e.g. error or overflow). The ten states representing a BCD digit are sometimes called tetrades (for the nibble typically needed to hold them is also known as a tetrade) while the unused, don't care-states are named pseudo-tetrad(e)s, pseudo-decimals or pseudo-decimal digits. 二進碼十進數（英語：Binary-Coded Decimal，簡稱BCD，中国大陆称BCD码或二-十进制编码）是一種十进制數字編碼的形式。在這種編碼下，每个十进制数字用一串单独的二进制位元來儲存與表示。常见的有以4位元表示1个十进制数字，称为压缩的BCD码（compressed or packed）；或者以8位元表示1个十进制数字，称为未压缩的BCD码（uncompressed or zoned）。這種編碼技术，最常用於會計系統的設計裡，因為會計制度經常需要對很長的數字做準確的計算。相對於一般的記數法，採用BCD碼，既可保存數值的精確度，又可使電腦免除作浮點運算所耗費的時間。此外，對於其他需要高精確度的計算，BCD編碼亦很常用。 BCD码的主要优点是在机器格式与人可读的格式之间转换容易，以及十进制数值的高精度表示。BCD码的主要缺点是增加了实现算术运算的电路的复杂度，以及存储效率低。 BCD (sigles de l'anglès Binary-coded decimal, decimal codificat en binari), o BCD8421, és un sistema numèric usat en sistemes computacionals i electrònics per a codificar nombres enters positius i facilitar les operacions aritmètiques. És un a causa del fet que cada posició numèrica té un pes específic (8421). Kod BCD (ang. binary-coded decimal, czyli zapis dziesiętny kodowany dwójkowo lub kod dwójkowo-dziesiętny) – sposób zapisu liczby polegający na zakodowaniu kolejnych cyfr dziesiętnych tej liczby w systemie dwójkowym, przy użyciu tylko czterech młodszych bitów (zob. półbajt). Stosowany jest on głównie w elektronice i informatyce. Taki zapis pozwala na łatwą konwersję liczby do i z systemu dziesiętnego, jednak jego niedogodnością jest istniejąca nadmiarowość (wykorzystuje tylko 10 czterobitowych kombinacji z 16 możliwych). La codifica binary-coded decimal (BCD) è un modo comunemente utilizzato in informatica ed elettronica per rappresentare le cifre decimali in codice binario, che sfrutta in parte la convertibilità da base 2 a base 16. In questo formato, ogni cifra di un numero decimale è rappresentata come per un numero a base 16 da un codice binario di quattro bit, il valore del quale è compreso tra 0 (0000) e 9 (1001). Le restanti sei cifre della base 16 possono essere usate per rappresentare simboli.Per esempio il numero 127 è rappresentato in BCD come 0001, 0010, 0111. 이진화 십진법(Binary-coded decimal, BCD)은 이진수 네 자리를 묶어 십진수 한 자리로 사용하는 기수법이다. 이진수 네 자리가 십진수 한 자리에 바로 대응되기 때문에 변환이 편하나, 쓰이지 않고 버려지는 데이터가 많아 같은 데이터를 저장하더라도 더 많은 데이터가 필요하다.
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dbo:abstract: Двійко́во-десятко́вий код (ДДК, англ. BCD, binary-coded decimal) — спосіб представлення десяткового числа, у якому кожній цифрі відповідає певна послідовність двійкових розрядів. Цей код (а точніше, його різновид 8421-ДДК) спрощує ввід/вивід числа у десятковому вигляді, використовується у калькуляторах та при роботі над числами з нерухомою комою (наприклад, з грішми) для забезпечення належної точності підрахунків. Реалізація BCD-арифметики досить проста, тому вона присутня у наборах інструкцій майже всіх мікропроцесорів та мікроконтролерів. Найпростішим варіантом є 8421-ДДК, який означає, що кожна цифра десяткового числа записується своїм двійковим представленням з доповненням нулями до 4 розрядів (тетрада). Наприклад, число 309110, при кодуванні у 8421-ДДК буде виглядати як 0011 0000 1001 0001 2 二進碼十進數（英語：Binary-Coded Decimal，簡稱BCD，中国大陆称BCD码或二-十进制编码）是一種十进制數字編碼的形式。在這種編碼下，每个十进制数字用一串单独的二进制位元來儲存與表示。常见的有以4位元表示1个十进制数字，称为压缩的BCD码（compressed or packed）；或者以8位元表示1个十进制数字，称为未压缩的BCD码（uncompressed or zoned）。這種編碼技术，最常用於會計系統的設計裡，因為會計制度經常需要對很長的數字做準確的計算。相對於一般的記數法，採用BCD碼，既可保存數值的精確度，又可使電腦免除作浮點運算所耗費的時間。此外，對於其他需要高精確度的計算，BCD編碼亦很常用。 BCD码的主要优点是在机器格式与人可读的格式之间转换容易，以及十进制数值的高精度表示。BCD码的主要缺点是增加了实现算术运算的电路的复杂度，以及存储效率低。 In computing and electronic systems, binary-coded decimal (BCD) is a class of binary encodings of decimal numbers where each digit is represented by a fixed number of bits, usually four or eight. Sometimes, special bit patterns are used for a sign or other indications (e.g. error or overflow). In byte-oriented systems (i.e. most modern computers), the term unpacked BCD usually implies a full byte for each digit (often including a sign), whereas packed BCD typically encodes two digits within a single byte by taking advantage of the fact that four bits are enough to represent the range 0 to 9. The precise 4-bit encoding, however, may vary for technical reasons (e.g. Excess-3). The ten states representing a BCD digit are sometimes called tetrades (for the nibble typically needed to hold them is also known as a tetrade) while the unused, don't care-states are named pseudo-tetrad(e)s, pseudo-decimals or pseudo-decimal digits. BCD's main virtue, in comparison to binary positional systems, is its more accurate representation and rounding of decimal quantities, as well as its ease of conversion into conventional human-readable representations. Its principal drawbacks are a slight increase in the complexity of the circuits needed to implement basic arithmetic as well as slightly less dense storage. BCD was used in many early decimal computers, and is implemented in the instruction set of machines such as the IBM System/360 series and its descendants, Digital Equipment Corporation's VAX, the Burroughs B1700, and the Motorola 68000-series processors. BCD per se is not as widely used as in the past, and is unavailable or limited in newer instruction sets (e.g., ARM; x86 in long mode). However, decimal fixed-point and decimal floating-point formats are still important and continue to be used in financial, commercial, and industrial computing, where the subtle conversion and fractional rounding errors that are inherent in binary floating point formats cannot be tolerated. 이진화 십진법(Binary-coded decimal, BCD)은 이진수 네 자리를 묶어 십진수 한 자리로 사용하는 기수법이다. 이진수 네 자리가 십진수 한 자리에 바로 대응되기 때문에 변환이 편하나, 쓰이지 않고 버려지는 데이터가 많아 같은 데이터를 저장하더라도 더 많은 데이터가 필요하다. La codifica binary-coded decimal (BCD) è un modo comunemente utilizzato in informatica ed elettronica per rappresentare le cifre decimali in codice binario, che sfrutta in parte la convertibilità da base 2 a base 16. In questo formato, ogni cifra di un numero decimale è rappresentata come per un numero a base 16 da un codice binario di quattro bit, il valore del quale è compreso tra 0 (0000) e 9 (1001). Le restanti sei cifre della base 16 possono essere usate per rappresentare simboli.Per esempio il numero 127 è rappresentato in BCD come 0001, 0010, 0111. Sebbene il BCD comporti un notevole spreco di bit (circa 1/6 di memoria inutilizzata in packed BCD), in alcuni casi è preferibile perché ha una diretta corrispondenza con il codice ASCII. È sufficiente infatti aggiungere, in testa ai quattro bit, 0011 per ottenere il corrispondente ASCII. Nell'addizione, se il risultato supera 9 (1001), si somma 6(0110) cioè la quantità di codifiche inutilizzate (da 1010 a 1111). Poiché i computer memorizzano i dati in byte, di otto bit, con tale codifica è possibile memorizzare una cifra per byte e riempire i restanti quattro bit iniziali con zeri o uno (come nel codice EBCDIC), oppure mettere due cifre per byte, modalità chiamata packed BCD. I numeri in notazione packed BCD normalmente terminano con un codice di segno, solitamente 1100 per il + e 1101 per il meno.Il numero 127 si rappresenta 11110001, 11110010, 11110111 in EBCDIC e 00010010, 01111100 in packed BCD. Il codice BCD è molto usato in elettronica, specialmente in circuiti digitali privi di microprocessore, perché facilita la visualizzazione di lunghe cifre sui display a sette segmenti. Infatti ad ogni display fisico corrisponde esattamente una cifra. Esistono appositi circuiti integrati che effettuano la conversione da BCD nella corrispondente sequenza di accensione dei segmenti. Anche l'esecuzione di semplici calcoli aritmetici è più semplice da effettuarsi su cifre BCD per circuiti logici combinatori. I BIOS dei personal computer memorizzano la data e l'ora in BCD; ciò presumibilmente avviene per ragioni storiche, tenendo conto che in alcuni sistemi recenti l'anno viene rappresentato diversamente per ovviare al Millennium bug. BCD (sigles de l'anglès Binary-coded decimal, decimal codificat en binari), o BCD8421, és un sistema numèric usat en sistemes computacionals i electrònics per a codificar nombres enters positius i facilitar les operacions aritmètiques. És un a causa del fet que cada posició numèrica té un pes específic (8421). Le décimal codé binaire (DCB) (binary coded decimal ou BCD en anglais), est un système de numération utilisé en électronique numérique et en informatique pour coder des nombres en se rapprochant de la représentation humaine usuelle, en base 10. Dans ce format, les nombres sont représentés par un ou plusieurs chiffres compris entre 0 et 9, et chacun de ces chiffres est codé sur quatre bits : Chiffre Bits 0 0000 1 0001 2 0010 3 0011 4 0100 5 0101 6 0110 7 0111 8 1000 9 1001 Ainsi, pour coder un nombre tel que 127, il suffit de coder chacun des chiffres 1, 2 et 7 séparément, et l'on obtient la valeur 0001 0010 0111.De même pour le nombre 420, chacun des chiffres 4, 2 et 0 est codé en binaire, ce qui donne 0100 0010 0000. Étant donné que quatre bits peuvent en théorie représenter 16 valeurs distinctes et que l'on se restreint à dix valeurs possibles, on note une augmentation du nombre de bits requis pour représenter un nombre lors de l'utilisation du format DCB.Ainsi par exemple, pour représenter la valeur 12 (1100 en binaire naturel, 0001 0010 en DCB), il faudra utiliser 4 bits de plus au format DCB qu'en binaire naturel.Plus généralement 8 bits permettent de coder une valeur comprise entre 0 (0000 0000) et 99 (1001 1001) en DCB, là où l'utilisation d'un code binaire naturel permettrait de représenter des valeurs allant jusqu'à 255 (1111 1111). Certains systèmes mettent à profit la possibilité pour les 4 bits DCB de prendre des valeurs supérieures à 9 afin de coder des informations supplémentaires, comme notamment le signe du nombre représenté. Par exemple, les valeurs 12 (1100) et 13 (1101) sont couramment utilisées pour coder le signe plus (+) et le signe moins (−) respectivement, le nombre négatif -420 pouvant ainsi être représenté par 0100 0010 0000 1101 (avec le signe à la fin). Le codage du signe peut également utiliser des valeurs différentes. Le codage DCB rend possible l'exactitude de la représentation des nombres décimaux (« nombres à virgule ») et des calculs qui en découlent. Cette particularité permet notamment d'éviter des erreurs d'arrondi lors de la saisie et de l'affichage de ces nombres et d'éviter des comportements indésirables dans certains programmes informatiques. D'une manière générale, dans les notations à virgule fixe ou flottante, un nombre X est représenté par deux nombres entiers relatifs N et E (E étant implicite dans les notations à virgule fixe) tels que X = N × BE, où B est la base de numération (2 en codage binaire, 10 en codage DCB). Ainsi, en DCB (B = 10) il est possible de représenter le nombre décimal X = 0,1 par deux nombres entiers relatifs N et E tels que N = 10-(E+1), par exemple N = 1000 et E = -4. Le calcul de Y = X × 200 donne exactement Y = 20 et l'expression booléenne « Y ≥ 20 » est vraie. Comparativement, en binaire naturel (B = 2) la représentation du nombre décimal X = 0,1 ne peut pas être exacte. Elle est nécessairement approchée. Par exemple, avec N codé sur un mot de 16 bits signé, au mieux on peut écrire 0,1 ≈ 26214 × 2-18 (soit environ 0,099998) avec N = 26214 et E = -18. Le calcul de Y = X × 200 donne alors Y = 327675 × 2-14 (soit environ 19,9997) et, en l'absence d'un arrondi qui corrigerait opportunément l'erreur commise, l'expression booléenne « Y ≥ 20 » est fausse, avec pour conséquence des différences dans le déroulement du programme informatique qui exploite la valeur de cette expression. Двоично-десятичный код (англ. binary-coded decimal), BCD, 8421-BCD — форма записи рациональных чисел, когда каждый десятичный разряд числа записывается в виде его четырёхбитного двоичного кода. Таким образом, каждая тетрада двоично-десятичного числа может принимать значения от 00002 (010) до 10012 (910). Например, десятичное число 31110 будет записано в двоичной системе счисления в двоичном коде как 1 0011 01112, а в двоично-десятичном коде как 0011 0001 0001BCD. BCD-Code steht im englischen für Binary Coded Decimal, also dualkodierte Dezimalziffer. Dabei wird jede dezimale Ziffer 0 bis 9 durch jeweils vier Bit dargestellt (0000 bis 1001, siehe Codetabelle), also in einem Halbbyte (Nibble). Eine andere Bezeichnung ist 8-4-2-1-BCD-Code. Die Ziffernfolge 8-4-2-1 steht dabei für die Werte der Stellen in einer dualkodierten Dezimalziffer. In einigen Fällen wird mit BCD die allgemeine Binärkodierung einzelner Dezimalziffern bezeichnet (siehe ). Der BCD-Code sollte nicht mit dem BCD-Zählcode verwechselt werden. Is éard atá i gceist le Deachúil Códaithe go Dénártha (nó BCD) ná léiriú uimhriúil ina sanntar uimhir mar sheicheamh de dhigití deachúlacha agus ansin go n-ionchódaítear gach digit dheachúlach mar uimhir dhénártha ceithre ghiotán (leathbheart). Léirítear gach uimhir dheachúil (0-9) le sraith 4 ghiotán (digit dhénártha) dénártha. Mar shampla, d'ionchódófaí 92 deachúlach mar sheicheamh ocht ngiotán 1001 0010. I gcásanna áirithe, bíonn an comhartha (deimhneach nó diúltach) san áireamh sa leathbheart is faide ar dheis. Is furasta uimhreacha deachúlacha ná uimhreacha dénártha a thiontú go BCD agus ó BCD agus, cé gur minic a thiontaítear BCD go dénartha ar mhaithe le próiseáil uimhríochta, is féidir crua-earraí a thógáil a oibríonn go díreach ar BCD. En sistemas de computación, Binary-Coded Decimal (BCD) o Decimal codificado en binario es un estándar para representar números decimales en el sistema binario, en donde cada dígito decimal es codificado con una secuencia de 4 bits. Con esta codificación especial de los dígitos decimales en el sistema binario, se pueden realizar operaciones aritméticas como suma, resta, multiplicación y división. Cada dígito decimal tiene una representación binaria codificada con 4 bits: Decimal: 0 1 2 3 4 5 6 7 8 9BCD: 0000 0001 0010 0011 0100 0101 0110 0111 1000 1001 Los números decimales, se codifican en BCD con los bits que representan sus dígitos. Por ejemplo, la codificación en BCD del número decimal 59237 es: Decimal: 5 9 2 3 7BCD: 0101 1001 0010 0011 0111 La representación anterior (en BCD) es diferente de la representación del mismo número decimal en binario puro: 1110011101100101 = 59237 BCD (engelska: binary-coded decimal, "binärkodat decimalt") eller NBCD (engelska: natural binary-coded decimal, "naturligt kodat decimalt"), är sätt att representera tal i det decimala talsystemet som följder av ettor och nollor. Principen är att de tal som skall kodas delas in i decimala siffror (0–9) som sedan omkodas till motsvarande binära tal. Talet anges vanligen binärt med fyra bitar (en nibble) eller med fyra bitar i varje byte. Den naturligaste kodningen, 8421-kod eller natural binary-coded decimal, bygger på att bitarna i en nibble har värdena 8, 4, 2 och 1, liksom då man representerar godtyckligt data som hexadecimaltal. Bitkombinationer som ger värden över 9 används inte eller används för specialfunktioner (t.ex. för tecknet, om negativa tal skall kunna kodas). Också andra kodningar används. Genom att arbeta med basen tio istället för två undviker man vissa avrundningsproblem, till exempel kan en tiondel inte skrivas exakt med vanliga binära flyttal. Dessutom är det lätt för en människa att skriva och läsa. Det räcker att lära sig tio koder för siffrorna 0–9, och sedan substituerar man systematiskt siffrorna i det ursprungliga talet med motsvarande koder. Nackdelarna är två, dels blir ett BCD-kodat tal längre än motsvarande tal i ren binärform (detta på grund av att fyra ettor eller nollor kan ge upphov till sexton kombinationer medan endast tio av dessa används som siffror), dels blir lätt själva hanteringen av i grunden decimala tal i en maskin som bygger på binär aritmetik ineffektiv. Ineffektiviteten uppstår endast vid långa matematiska beräkningar och i normalfallet saknar det betydelse om processorn räknar i BCD-kod då övrig hantering ändå sätter körtiderna. Tiden som åtgår för att konvertera BCD-siffror till binära är ändå så pass lång att det oftast inte lönar sig att översätta. Angående lagringsutrymme så har priserna blivit så pass låga att behovet av att öka informationstätheten har krympt avsevärt. I vanliga fall håller en byte ett tal mellan 0 och 255 (28-1) men BCD-tal låter varje halv byte (nibble) hålla ett tiotal.Ett exempel:53 i vanlig form ser ut som följer: 0011 0101 (32 + 16 + 4 + 1)53 i BCD-format ser ut så här: 0101 0011 ( 4 + 1 och 2 + 1) De flesta processorarkitekturer har instruktioner för att direkt hantera BCD-tal, till exempel Motorola M68k och x86. Binary Coded Decimal (zkráceně BCD, dvojkově reprezentované dekadické číslo) je způsob kódování celých čísel s využitím pouze desítkových číslic (0-9), a to už na úrovni čtveřic bitů (nibblů) tím způsobem, že každý nibble odpovídá jedné desítkové číslici. Een BCD-code (Engels: afkorting voor binary-coded decimal) is een binaire code om decimale getallen op te slaan. Elk cijfer van het getal wordt gecodeerd door een groep van vier bits die een binaire representatie zijn van het betrokken cijfer. Een gevolg hiervan is dat de hexadecimale weergave van een getal in BCD-code er hetzelfde uitziet als de decimale variant. Vroeger werd BCD-codering veel gebruikt om de elektronica te vereenvoudigen, met name bij de weergave van cijfers door pixie- en nixiebuizen en hun opvolgers de zevensegmentendisplays. Daarnaast maakt de taal COBOL veel gebruik van deze code omdat het in een administratieve omgeving met (nog) niet zo snelle machines eenvoudiger was een bepaald cijfer uit een getal te "lichten" (BCD-cijfers zijn namelijk eenvoudiger om te zetten naar ASCII- of EBCDIC-cijfers dan een binair getal). De meeste computersoftware maakt tegenwoordig gebruik van andere coderingen en de waarden voor de (decimale) weergave van getallen worden meestal rechtstreeks vanuit deze coderingen berekend. Dalam komputasi dan sistem elektronik, desimal berkode biner (BCD) adalah sebuah kelas pengkodean biner dari bilangan desimal yang masing-masing digit dalam desimalnya diwakili oleh jumlah bit tetap, biasanya empat atau delapan. Pola-pola bit khusus ini kadang-kadang digunakan sebagai penanda atau untuk indikasi lain (misalnya kesalahan atau overflow). Dalam sistem berorientasi bit (seperti pada sebagian besar komputer modern), istilah BCD yang terbongkar (unpacked BCD) biasanya menggunakan seluruh bita untuk masing-masing digit (sering kali termasuk sebuah tanda), sedangkan BCD yang terkemas (packed BCD) biasanya mengkodekan dua digit desimal dalam satu bita dengan mengambil keuntungan dari fakta bahwa empat bit saja cukup untuk mewakili satu digit angka dengan rentang 0 sampai 9. Namun, untuk penggunaan pengodean 4 bit yang tetap, dapat bervariasi untuk alasan teknis seperti Ekses-3. BCD digunakan di banyak komputer desimal awal dan diimplementasikan dalam set instruksi untuk mesin seperti seri IBM System/360 dan keturunannya, Digital Equipment Corporation VAX dan Motorola berseri prosesor 68000. Sekarang, BCD masih digunakan dalam bidang keuangan, komersial, dan industri komputasi yang tidak menoleransi kesalahan pembulatan pecahan yang melekat dalam representasi biner floating point. 二進化十進数 (BCD、Binary-coded decimal ) とは、コンピュータにおける数値の表現方式の一つで、十進法の1桁を、0から9までを表す二進法の4桁で表したものである。「二進化十進符号」などとも呼ばれる。3増し符号など同じ目的の他の方式や、より一般的に、十進3桁を10ビットで表現するDensely packed decimalなども含めることもある。 في الحوسبة والأنظمة الإلكترونية النظام العشري المشفر ثنائيا (BCD Binary-Coded-Decimal ) هو ليس نظاما عددياً بحد ذاته، بل يمزج ما بين العشري والثنائي، وتعتمد عليه بعض الآلات الحاسبة . وكثير من الشرائح الإلكترونية، A codificação binária decimal e/ou codificação binária, também conhecida como BCD (Binary-coded decimal), é um sistema de numeração muito utilizado na Informática, assim como na Matemática, e em sistemas digitais eletrônicos. Estamos falando de um sistema de base dois e posicional, ou seja, trocando a ordem dos dígitos no número binário, o seu valor é alterado. Nele, é utilizado apenas dois algarismos: o 0 (zero) e o 1 (um). O BCD codifica o sistema decimal em binário, do números (decimais) 0 a 9, onde cada número é representado pelo seu equivalente binário. Kod BCD (ang. binary-coded decimal, czyli zapis dziesiętny kodowany dwójkowo lub kod dwójkowo-dziesiętny) – sposób zapisu liczby polegający na zakodowaniu kolejnych cyfr dziesiętnych tej liczby w systemie dwójkowym, przy użyciu tylko czterech młodszych bitów (zob. półbajt). Stosowany jest on głównie w elektronice i informatyce. Taki zapis pozwala na łatwą konwersję liczby do i z systemu dziesiętnego, jednak jego niedogodnością jest istniejąca nadmiarowość (wykorzystuje tylko 10 czterobitowych kombinacji z 16 możliwych). Kod BCD jest obecnie stosowany głównie w urządzeniach elektronicznych z wyświetlaczem cyfrowym (np. w kalkulatorach, miernikach cyfrowych) i w zastosowaniach finansowych informatyki (ujednoznacznia zapis części ułamkowych kwot i ułatwia dziesiętne zaokrąglanie). We współczesnych komputerach używane są dwa sposoby zapisu liczb w kodzie BCD na ośmiobitowych bajtach (zob. oktet): 1. * użycie tylko czterech najmłodszych bitów do zapisu pojedynczej cyfry; 4 starsze są wtedy ustawiane na jakąś konkretną wartość (np. 1111 jak w EBCDIC, 0011 jak w ASCII, czy 0000), 2. * zapis dwóch cyfr w każdym bajcie (bardziej znacząca w starszym półbajcie, a mniej znacząca w młodszym); jest to tak zwane spakowane BCD (ang. packed BCD). Wiele mikroprocesorów (w tym wszystkie wywodzące się od Intel 8080) posiada rozkazy i tak zwane flagi umożliwiające dodawanie i odejmowanie liczb BCD w wersji spakowanej.
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