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  2. Karatsuba algorithm - Wikipedia

    en.wikipedia.org/wiki/Karatsuba_algorithm

    For the binary representation of integers, it suffices to replace everywhere 10 by 2. [5] The second argument of the split_at function specifies the number of digits to extract from the right: for example, split_at("12345", 3) will extract the 3 final digits, giving: high="12", low="345".

  3. Bailey–Borwein–Plouffe formula - Wikipedia

    en.wikipedia.org/wiki/Bailey–Borwein–Plouffe...

    This does not compute the nth decimal digit of π (i.e., in base 10). [3] But another formula discovered by Plouffe in 2022 allows extracting the nth digit of π in decimal. [4] BBP and BBP-inspired algorithms have been used in projects such as PiHex [5] for calculating many digits of π using distributed computing. The existence of this ...

  4. Bit numbering - Wikipedia

    en.wikipedia.org/wiki/Bit_numbering

    Similarly, the most significant bit (MSb) represents the highest-order place of the binary integer. The LSb is sometimes referred to as the low-order bit or right-most bit, due to the convention in positional notation of writing less significant digits further to the right. The MSb is similarly referred to as the high-order bit or left-most bit.

  5. Check digit - Wikipedia

    en.wikipedia.org/wiki/Check_digit

    The final digit of a Universal Product Code, International Article Number, Global Location Number or Global Trade Item Number is a check digit computed as follows: [3] [4]. Add the digits in the odd-numbered positions from the left (first, third, fifth, etc.—not including the check digit) together and multiply by three.

  6. Binary number - Wikipedia

    en.wikipedia.org/wiki/Binary_number

    The base-2 numeral system is a positional notation with a radix of 2.Each digit is referred to as a bit, or binary digit.Because of its straightforward implementation in digital electronic circuitry using logic gates, the binary system is used by almost all modern computers and computer-based devices, as a preferred system of use, over various other human techniques of communication, because ...

  7. Arithmetic shift - Wikipedia

    en.wikipedia.org/wiki/Arithmetic_shift

    The formal definition of an arithmetic shift, from Federal Standard 1037C is that it is: . A shift, applied to the representation of a number in a fixed radix numeration system and in a fixed-point representation system, and in which only the characters representing the fixed-point part of the number are moved.

  8. Logical shift - Wikipedia

    en.wikipedia.org/wiki/Logical_shift

    Shifting left by n bits on a signed or unsigned binary number has the effect of multiplying it by 2 n. Shifting right by n bits on an unsigned binary number has the effect of dividing it by 2 n (rounding towards 0). Logical right shift differs from arithmetic right shift. Thus, many languages have different operators for them.

  9. Binary code - Wikipedia

    en.wikipedia.org/wiki/Binary_code

    A binary code represents text, computer processor instructions, or any other data using a two-symbol system. The two-symbol system used is often "0" and "1" from the binary number system. The binary code assigns a pattern of binary digits, also known as bits, to each character, instruction, etc.