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The long division may begin with a non-zero remainder. The remainder is generally computed using an -bit shift register holding the current remainder, while message bits are added and reduction modulo () is performed. Normal division initializes the shift register to zero, but it may instead be initialized to a non-zero value.
This polynomial becomes the divisor in a polynomial long division, which takes the message as the dividend and in which the quotient is discarded and the remainder becomes the result. The important caveat is that the polynomial coefficients are calculated according to the arithmetic of a finite field , so the addition operation can always be ...
Long division is the standard algorithm used for pen-and-paper division of multi-digit numbers expressed in decimal notation. It shifts gradually from the left to the right end of the dividend, subtracting the largest possible multiple of the divisor (at the digit level) at each stage; the multiples then become the digits of the quotient, and the final difference is then the remainder.
Integer division; Efficient integer division and calculating of the remainder when the divisor is known; Integer square and cube roots; Unusual number systems, including base −2; Transfer of values between floating-point and integer; Cyclic redundancy checks, error-correcting codes and Gray codes; Hilbert curves, including a discussion of ...
A channel program contains lists of commands to the channel itself and to the controller and device to which it is directed. Once the operating system has prepared a complete list of channel commands, it executes a single I/O machine instruction to initiate the channel program; the channel thereafter assumes control of the I/O operations until ...
In computing, the modulo operation returns the remainder or signed remainder of a division, after one number is divided by another, called the modulus of the operation.. Given two positive numbers a and n, a modulo n (often abbreviated as a mod n) is the remainder of the Euclidean division of a by n, where a is the dividend and n is the divisor.
C mathematical operations are a group of functions in the standard library of the C programming language implementing basic mathematical functions. [1] [2] All functions use floating-point numbers in one manner or another. Different C standards provide different, albeit backwards-compatible, sets of functions.
In addition to their fundamental use for interprocess communication, channels can be used as a primitive to implement various other concurrent programming constructs which can be realized as streams. For example, channels can be used to construct futures and promises , where a future is a one-element channel, and a promise is a process that ...