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  2. Modulo - Wikipedia

    en.wikipedia.org/wiki/Modulo

    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.

  3. Modulo (mathematics) - Wikipedia

    en.wikipedia.org/wiki/Modulo_(mathematics)

    Modulo is a mathematical jargon that was introduced into mathematics in the book Disquisitiones Arithmeticae by Carl Friedrich Gauss in 1801. [3] Given the integers a, b and n, the expression "a ≡ b (mod n)", pronounced "a is congruent to b modulo n", means that a − b is an integer multiple of n, or equivalently, a and b both share the same remainder when divided by n.

  4. Modular arithmetic - Wikipedia

    en.wikipedia.org/wiki/Modular_arithmetic

    Time-keeping on this clock uses arithmetic modulo 12. Adding 4 hours to 9 o'clock gives 1 o'clock, since 13 is congruent to 1 modulo 12. In mathematics, modular arithmetic is a system of arithmetic for integers, where numbers "wrap around" when reaching a certain value, called the modulus.

  5. Comparison of Java and C++ - Wikipedia

    en.wikipedia.org/wiki/Comparison_of_Java_and_C++

    Java's division and modulus operators are well defined to truncate to zero. C++ (pre-C++11) does not specify whether or not these operators truncate to zero or "truncate to -infinity". -3/2 will always be -1 in Java and C++11, but a C++03 compiler may return either -1 or -2, depending on the platform.

  6. Java syntax - Wikipedia

    en.wikipedia.org/wiki/Java_syntax

    A snippet of Java code with keywords highlighted in bold blue font. The syntax of Java is the set of rules defining how a Java program is written and interpreted. The syntax is mostly derived from C and C++. Unlike C++, Java has no global functions or variables, but has data members which are also regarded as global variables.

  7. Modular exponentiation - Wikipedia

    en.wikipedia.org/wiki/Modular_exponentiation

    Modular exponentiation is the remainder when an integer b (the base) is raised to the power e (the exponent), and divided by a positive integer m (the modulus); that is, c = b e mod m. From the definition of division, it follows that 0 ≤ c < m .

  8. Integer overflow - Wikipedia

    en.wikipedia.org/wiki/Integer_overflow

    modulo the type's modulus: raise Constraint_Error: C, C++: modulo power of two: undefined behavior C#: modulo power of 2 in unchecked context; System.OverflowException is raised in checked context [10] Java: modulo power of two (char is the only unsigned primitive type in Java) modulo power of two JavaScript

  9. Talk:Modulo - Wikipedia

    en.wikipedia.org/wiki/Talk:Modulo

    Currently the table only does integer modulo operators. (In some languages the floating-point modulo operator is the same as the integer modulo operator; whereas in other languages it is different.) For example, in C, the fmod() function is used to perform floating-point modulo (the % operator won't work); but it is not listed in the table.