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  2. Carry (arithmetic) - Wikipedia

    en.wikipedia.org/wiki/Carry_(arithmetic)

    They face two basic difficulties: The first one stems from the fact that a carry can require several digits to change: in order to add 1 to 999, the machine has to increment 4 different digits. Another challenge is the fact that the carry can "develop" before the next digit finished the addition operation.

  3. Finite field arithmetic - Wikipedia

    en.wikipedia.org/wiki/Finite_field_arithmetic

    Here is some C code which will add and multiply numbers in the characteristic 2 finite field of order 2 8, used for example by Rijndael algorithm or Reed–Solomon, using the Russian peasant multiplication algorithm:

  4. Saturation arithmetic - Wikipedia

    en.wikipedia.org/wiki/Saturation_arithmetic

    Saturation arithmetic for integers has also been implemented in software for a number of programming languages including C, C++, such as the GNU Compiler Collection, [2] LLVM IR, and Eiffel. Support for saturation arithmetic is included as part of the C++26 Standard Library. This helps programmers anticipate and understand the effects of ...

  5. Computational complexity of mathematical operations - Wikipedia

    en.wikipedia.org/wiki/Computational_complexity...

    Operation Input Output Algorithm Complexity Addition: Two -digit numbers : One +-digit number : Schoolbook addition with carry ()Subtraction: Two -digit numbers : One +-digit number

  6. C mathematical functions - Wikipedia

    en.wikipedia.org/wiki/C_mathematical_functions

    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.

  7. Addition - Wikipedia

    en.wikipedia.org/wiki/Addition

    A number-line visualization of the algebraic addition 2 + 4 = 6. A "jump" that has a distance of 2 followed by another that is long as 4, is the same as a translation by 6. A number-line visualization of the unary addition 2 + 4 = 6. A translation by 4 is equivalent to four translations by 1.

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  9. Elementary arithmetic - Wikipedia

    en.wikipedia.org/wiki/Elementary_arithmetic

    The sum of two numbers is unique; there is only one correct answer for a sums. [8] When the sum of a pair of digits results in a two-digit number, the "tens" digit is referred to as the "carry digit". [9] In elementary arithmetic, students typically learn to add whole numbers and may also learn about topics such as negative numbers and fractions.