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computing, an arithmetic logic unit (ALU) is a combinational digital circuit that performs arithmetic and bitwise operations on integer binary numbers...

In mathematics, modular arithmetic is a system of arithmetic for integers, where numbers "wrap around" when reaching a certain value, called the modulus...

application is public-key cryptography, whose algorithms commonly employ arithmetic with integers having hundreds of digits. Another is in situations where artificial...

In computer programming, an integer overflow occurs when an arithmetic operation on integers attempts to create a numeric value that is outside of the...

and taking logarithms. Arithmetic systems can be distinguished based on the type of numbers they operate on. Integer arithmetic is about calculations with...

fundamental theorem of arithmetic, also called the unique factorization theorem and prime factorization theorem, states that every integer greater than 1 can...

implicit zero digits at right). This representation allows standard integer arithmetic logic units to perform rational number calculations. Negative values...

that calculations in the example are done using integer arithmetic rather than using finite field arithmetic to make the idea easier to understand. Therefore...

C and C++ is not necessarily an arithmetic shift. Usually it is only an arithmetic shift if used with a signed integer type on its left-hand side. If it...

alternative method allows for integer-only arithmetic, which is generally faster than using floating-point arithmetic. To derive the other method, define...

In computing, floating-point arithmetic (FP) is arithmetic that represents subsets of real numbers using an integer with a fixed precision, called the...

the structure of non-negative integers with constants 0, 1, and the addition of non-negative integers. Presburger arithmetic is designed to be complete and...

Division is one of the four basic operations of arithmetic. The other operations are addition, subtraction, and multiplication. What is being divided is...

(or arithmetic or higher arithmetic in older usage) is a branch of pure mathematics devoted primarily to the study of the integers and arithmetic functions...

make large integer arithmetic relatively quick. This method of dealing with large integers is slower than utilizing a CPU with higher integer size, but...

Last Theorem. The definition of the integers as sets satisfying Peano axioms provide a model of Peano arithmetic inside set theory. An important consequence...

versions that perform signed and unsigned compares. The integer arithmetic instructions use the integer operate instruction formats. The logical instructions...

built-in Integer datatype implements arbitrary-precision arithmetic. ISLISP: The ISO/IEC 13816:1997(E) ISLISP standard supports arbitrary precision integer numbers...

handle it at the hardware level. Denormal number Floating-point arithmetic IEEE 754 Integer overflow Logarithmic number system Machine epsilon Normal number...

not implement integer arithmetic operations using saturation arithmetic; instead, they use the easier-to-implement modular arithmetic, in which values...