division algorithm wikipedia - EAS
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Alles weergeven op Wikipediahttps://en.wikipedia.org/wiki/Division_algorithmA division algorithm is an algorithm which, given two integers N and D, computes their quotient and/or remainder, the result of Euclidean division. Some are applied by hand, while others are employed by digital circuit designs and software. Division algorithms fall into two main categories: slow division and … Meer weergeven
The simplest division algorithm, historically incorporated into a greatest common divisor algorithm presented in Euclid's Elements, Book VII, Proposition 1, finds the remainder given two positive integers using only … Meer weergeven
Newton–Raphson division
Newton–Raphson uses Newton's method to find the reciprocal of and multiply that reciprocal by to find the final quotient .
The steps of Newton–Raphson division are:
1. Calculate … Meer weergevenThe division by a constant D is equivalent to the multiplication by its reciprocal. Since the denominator is constant, so is its reciprocal (1/D). Thus it is possible to compute the value of (1/D) once at compile time, and at run time perform the multiplication … Meer weergeven
Long division is the standard algorithm used for pen-and-paper division of multi-digit numbers expressed in decimal notation. It … Meer weergeven
Slow division methods are all based on a standard recurrence equation
where:
• Rj is the j-th partial remainder of the division
• B is the radix (base, usually 2 internally in computers and calculators) Meer weergevenMethods designed for hardware implementation generally do not scale to integers with thousands or millions of decimal digits; these frequently occur, for example, in Meer weergeven
Round-off error can be introduced by division operations due to limited precision. Meer weergeven
Wikipedia-tekst onder CC-BY-SA-licensieDivision (mathematics) - Wikipedia
https://en.wikipedia.org/wiki/Division_(mathematics)Euclidean division is the mathematical formulation of the outcome of the usual process of division of integers. It asserts that, given two integers, a, the dividend, and b, the divisor, such that b ≠ 0, there are unique integers q, the quotient, and r, the remainder, such that a = bq + r and 0 ≤ r < |b|, where |b| denotes the absolute value of b.
Integers are not closed under division. Apart from division by zero being undefined, the quotient i…Wikipedia · Tekst onder CC-BY-SA-licentie- Geschatte leestijd: 8 min.
- https://en.wikipedia.org/wiki/Divide-and-conquer_algorithm
- In computer science, divide and conquer is an algorithm design paradigm. A divide-and-conquer algorithm recursively breaks down a problem into two or more sub-problems of the same or related type, until these become simple enough to be solved directly. The solutions to the sub-problems are then combined to give a solution to the original problem. T...
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- https://brilliant.org/wiki/division-algorithm
What is the Algorithm? Let's say we have to divide N N (dividend) by D D (divisor). We will take the following steps: Step 1: Subtract D D from N N repeatedly, i.e. N - D - D - D - \cdots N − …
- https://en.wikipedia.org/wiki/Long_division
- In arithmetic, long division is a standard division algorithm suitable for dividing multi-digit Hindu-Arabic numerals (Positional notation) that is simple enough to perform by hand. It breaks down a division problem into a series of easier steps. As in all division problems, one number, called the dividend, is divided by another, called the divisor...
- Geschatte leestijd: 9 min.
Division algorithm - Wikipedia
https://static.hlt.bme.hu/semantics/external/pages/nagyszám-aritmetika...A division algorithmis an algorithmwhich, given two integers N and D, computes their quotientand/or remainder, the result of division. Some are applied by hand, while others are …
- https://en.wikipedia.org/wiki/Polynomial_long_division
In algebra, polynomial long division is an algorithm for dividing a polynomial by another polynomial of the same or lower degree, a generalized version of the familiar arithmetic …
- https://en.wikipedia.org/wiki/Algorithm
Algorithm design refers to a method or a mathematical process for problem-solving and engineering algorithms. The design of algorithms is part of many solution theories, such as …
- https://en.wikipedia.org/wiki/Euclidean_division
In arithmetic, Euclidean division – or division with remainder – is the process of dividing one integer (the dividend) by another (the divisor), in a way that produces an integer quotient and a …
Euclidean algorithm - Wikipedia
https://en.wikipedia.org/wiki/Euclidean_algorithmAt every step k, the Euclidean algorithm computes a quotient q k and remainder r k from two numbers r k−1 and r k−2. r k−2 = q k r k−1 + r k. where the r k is non-negative and is strictly …
