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An arithmetic logic unit and its associated status register. The stored carry-out is connected to carry-in to facilitate efficient carry propagation. Upon completion of each ALU operation, the ALU's status output signals are usually stored in external registers to make them available for future ALU operations (e.g., to implement multiple ...
In mathematics, iteration may refer to the process of iterating a function, i.e. applying a function repeatedly, using the output from one iteration as the input to the next. Iteration of apparently simple functions can produce complex behaviors and difficult problems – for examples, see the Collatz conjecture and juggler sequences.
Iteration can be generated by taking a Pascal's triangle with rows and coloring numbers by their value modulo . As n {\displaystyle n} approaches infinity, a fractal is generated. The same fractal can be achieved by dividing a triangle into a tessellation of P 2 {\displaystyle P^{2}} similar triangles and removing the triangles that are upside ...
In logic and computer science, the Davis–Putnam–Logemann–Loveland (DPLL) algorithm is a complete, backtracking-based search algorithm for deciding the satisfiability of propositional logic formulae in conjunctive normal form, i.e. for solving the CNF-SAT problem.
CORDIC (coordinate rotation digital computer), Volder's algorithm, Digit-by-digit method, Circular CORDIC (Jack E. Volder), [1] [2] Linear CORDIC, Hyperbolic CORDIC (John Stephen Walther), [3] [4] and Generalized Hyperbolic CORDIC (GH CORDIC) (Yuanyong Luo et al.), [5] [6] is a simple and efficient algorithm to calculate trigonometric functions, hyperbolic functions, square roots ...
[2] [3] It was first described in 1837 as the successor to Babbage's Difference Engine, which was a design for a simpler mechanical calculator. [ 4 ] The analytical engine incorporated an arithmetic logic unit , control flow in the form of conditional branching and loops , and integrated memory , making it the first design for a general-purpose ...
If the instruction is a load then: execute as soon as the memory unit is available; Else, if the instruction is a store then: wait for the value to be stored before sending it to the memory unit; Else, the instruction is an arithmetic logic unit (ALU) operation then: execute the instruction at the corresponding functional unit
Assume that a is larger than b at the beginning of an iteration; then a equals r k−2, since r k−2 > r k−1. During the loop iteration, a is reduced by multiples of the previous remainder b until a is smaller than b. Then a is the next remainder r k.