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For any given prime number , a p-adic fraction or p-adic rational is a rational number whose denominator, when the ratio is in minimal (coprime) terms, is a power of , i.e., a number of the form where a is an integer and b is a natural number. These are precisely the numbers possessing a finite base-p positional numeral system expansion. When , they are called dyadic fractions or dyadic rationals; for example, 1/2 or 3/8, but not 1/3.

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  • Dyadic rational
  • Fraction dyadique
  • Frazione diadica
  • 이진 유리수
  • Fração diádica
  • Двоично-рациональное число
  • Dyadiska rationellerna
  • 二进分数
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  • For any given prime number , a p-adic fraction or p-adic rational is a rational number whose denominator, when the ratio is in minimal (coprime) terms, is a power of , i.e., a number of the form where a is an integer and b is a natural number. These are precisely the numbers possessing a finite base-p positional numeral system expansion. When , they are called dyadic fractions or dyadic rationals; for example, 1/2 or 3/8, but not 1/3.
  • In matematica, una frazione diadica - o razionale diadico - è un numero razionale espresso sotto forma di frazione, il denominatore della quale è una potenza di 2. Quindi un numero del tipo Questi numeri hanno la proprietà di avere una espansione diadica finita. L'insieme dei numeri razionali diadici è denso in : ogni numero reale può essere approssimato arbitrariamente dalla frazione diadica
  • 수학에서, 이진 유리수(二進有理數, dyadic rational) 또는 이진 분수(二進分數, dyadic fraction)는 이진법 전개가 유한한 유리수이다. 즉, 분모가 정수, 분모가 2의 거듭제곱인 분수로 나타낼 수 있는 유리수이다. 예를 들어, 1/2, 3/8은 이진 유리수이며, 1/3은 이진 유리수가 아니다.
  • Em matemática, uma fração diádica ou racional diádico é um número racional cujo denominador é uma potência de dois, ou seja, um número da forma onde a é um número inteiro e b é um número natural; por exemplo, 1/2 ou 3/8, mas não 1/3. Estes são precisamente os números cuja expansão binária é finita.
  • Inom matematik, är dyadiska rationeller de rationella tal vars nämnare är en tvåpotens, samt vars kvot är minimal. Exempelvis, är och dyadiska rationeller, men däremot inte . Formeln för dyadisk rationeller är följande där är ett heltal, och är ett naturligt tal.
  • Двоично-рациональные числа — рациональные числа, знаменатель которых представляет собой степень двойки. Иначе говоря, числа вида , где целое число, а натуральное. Например, 1/2 и 3/8 двоично-рациональны, а 1/3 нет. Именно эти числа имеют конечные представления в двоичной системе счисления.
  • 二进分数,也称为二进有理数,是一种分母是2的幂的分数。可以表示成,其中,是一个整数,是一个自然数。例如:,,而就不是。(英制单位中广泛采用二进分数,例如英寸,英寸,磅。) 所有二进分数组成的集合在实数轴上是稠密的:任何实数都可以用形为的二进分数无限逼近。与实数轴上的其它稠密集,例如有理数相比,二进分数是相对“小”的稠密集,这就是为什么它们有时出现在证明中(例如乌雷松引理)。 任何两个二进分数的和、积,与差也是二进分数: 但是,两个二进分数的商则一般不是二进分数。因此,二进分数形成了有理数的一个子环。
  • En mathématiques, une fraction dyadique ou rationnel dyadique est un nombre rationnel qui peut s'écrire sous forme de fraction avec pour dénominateur une puissance de deux. On peut noter l'ensemble des nombres dyadiques formellement par Par exemple, 1/2 ou 3/8 sont des fractions dyadiques, mais pas 1/3. De même que les nombres décimaux sont les nombres qui ont un développement décimal fini, les fractions dyadiques sont les nombres qui ont un développement binaire fini. La somme, la différence ou le produit de deux fractions dyadiques quelconques est elle-même une fraction dyadique :
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