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  2. Parity (mathematics) - Wikipedia

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

    Even and odd numbers have opposite parities, e.g., 22 (even number) and 13 (odd number) have opposite parities. In particular, the parity of zero is even. [2] Any two consecutive integers have opposite parity. A number (i.e., integer) expressed in the decimal numeral system is even or odd according to whether its last digit is even or odd. That ...

  3. Singly and doubly even - Wikipedia

    en.wikipedia.org/wiki/Singly_and_doubly_even

    Singly even numbers are those with ν 2 (n) = 1, i.e., integers of the form 4m + 2. Doubly even numbers are those with ν 2 (n) > 1, i.e., integers of the form 4m. In this terminology, a doubly even number may or may not be divisible by 8, so there is no particular terminology for "triply even" numbers in pure math, although it is used in ...

  4. Collatz conjecture - Wikipedia

    en.wikipedia.org/wiki/Collatz_conjecture

    The number is taken to be 'odd' or 'even' according to whether its numerator is odd or even. Then the formula for the map is exactly the same as when the domain is the integers: an 'even' such rational is divided by 2; an 'odd' such rational is multiplied by 3 and then 1 is added.

  5. Odd and Even - Wikipedia

    en.wikipedia.org/wiki/Odd_and_Even

    Odd and Even is a solitaire card game which is played with two decks of playing cards. It is so called because the building is done in twos, resulting in odd and even numbers. It is so called because the building is done in twos, resulting in odd and even numbers.

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  7. Odd–even rationing - Wikipedia

    en.wikipedia.org/wiki/Oddeven_rationing

    Mathematically, zero is an even number; half of the numbers in a given range end in 0, 2, 4, 6, 8 and the other half in 1, 3, 5, 7, 9, so it makes sense to include 0 with the other even digits for rationing. However, the general public is not always aware of the mathematical principle and think that zero is odd, or both even and odd, or neither.

  8. XOR gate - Wikipedia

    en.wikipedia.org/wiki/XOR_gate

    The result is a circuit that outputs a 1 when the number of 1s at its inputs is odd, and a 0 when the number of incoming 1s is even. This makes it practically useful as a parity generator or a modulo-2 adder. For example, the 74LVC1G386 microchip is advertised as a three-input logic gate, and implements a parity generator. [13]

  9. Parity of zero - Wikipedia

    en.wikipedia.org/wiki/Parity_of_zero

    The even and odd numbers alternate. Starting at any even number, counting up or down by twos reaches the other even numbers, and there is no reason to skip over zero. [8] With the introduction of multiplication, parity can be approached in a more formal way using arithmetic expressions. Every integer is either of the form (2 × ) + 0 or (2 × ...