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  2. Carry (arithmetic) - Wikipedia

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

    A typical example of carry is in the following pencil-and-paper addition: 1 27 + 59 ---- 86 7 + 9 = 16, and the digit 1 is the carry. The opposite is a borrow, as in −1 47 − 19 ---- 28 Here, 7 − 9 = −2, so try (10 − 9) + 7 = 8, and the 10 is got by taking ("borrowing") 1 from the next digit to the left. There are two ways in which ...

  3. Method of complements - Wikipedia

    en.wikipedia.org/wiki/Method_of_complements

    The nines' complement of a decimal digit is the number that must be added to it to produce 9; the nines' complement of 3 is 6, the nines' complement of 7 is 2, and so on, see table. To form the nines' complement of a larger number, each digit is replaced by its nines' complement. Consider the following subtraction problem:

  4. Positional notation - Wikipedia

    en.wikipedia.org/wiki/Positional_notation

    A three-digit, decimal numeral can represent only up to 999. But if the number-base is increased to 11, say, by adding the digit "A", then the same three positions, maximized to "AAA", can represent a number as great as 1330. We could increase the number base again and assign "B" to 11, and so on (but there is also a possible encryption between ...

  5. Addition - Wikipedia

    en.wikipedia.org/wiki/Addition

    3 + 2 = 5 with apples, a popular choice in textbooks [1] Addition (usually signified by the plus symbol +) is one of the four basic operations of arithmetic, the other three being subtraction, multiplication, and division. [2] The addition of two whole numbers results in the total amount or sum of those values combined. The example in the ...

  6. Ternary numeral system - Wikipedia

    en.wikipedia.org/wiki/Ternary_numeral_system

    A ternary / ˈ t ɜːr n ər i / numeral system (also called base 3 or trinary [1]) has three as its base. Analogous to a bit , a ternary digit is a trit ( tri nary dig it ). One trit is equivalent to log 2 3 (about 1.58496) bits of information .

  7. Signed-digit representation - Wikipedia

    en.wikipedia.org/wiki/Signed-digit_representation

    Signed-digit representation can be used to accomplish fast addition of integers because it can eliminate chains of dependent carries. [1] In the binary numeral system, a special case signed-digit representation is the non-adjacent form, which can offer speed benefits with minimal space overhead.

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