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  2. Cantor's diagonal argument - Wikipedia

    en.wikipedia.org/wiki/Cantor's_diagonal_argument

    Cantor's diagonal argument (among various similar names [ note 1]) is a mathematical proof that there are infinite sets which cannot be put into one-to-one correspondence with the infinite set of natural numbers – informally, that there are sets which in some sense contain more elements than there are positive integers.

  3. Bit (money) - Wikipedia

    en.wikipedia.org/wiki/Bit_(money)

    In the US, the bit is equal to 12 + 12 ¢, a designation which dates from the colonial period, when the most common unit of currency used was the Spanish dollar, also known as "piece of eight", which was worth 8 Spanish silver reales. $ 18 or 1 silver real was 1 "bit". With the adoption of the decimal U.S. currency in 1794, there was ...

  4. Coin problem - Wikipedia

    en.wikipedia.org/wiki/Coin_problem

    Only lines with n = 1 or 3 have no points (red). In mathematics, the coin problem (also referred to as the Frobenius coin problem or Frobenius problem, after the mathematician Ferdinand Frobenius) is a mathematical problem that asks for the largest monetary amount that cannot be obtained using only coins of specified denominations. [ 1] For ...

  5. Mathematics of cyclic redundancy checks - Wikipedia

    en.wikipedia.org/wiki/Mathematics_of_cyclic...

    The cyclic redundancy check (CRC) is based on division in the ring of polynomials over the finite field GF (2) (the integers modulo 2 ), that is, the set of polynomials where each coefficient is either zero or one, and arithmetic operations wrap around. Any string of bits can be interpreted as the coefficients of a message polynomial of this ...

  6. Cantor's theorem - Wikipedia

    en.wikipedia.org/wiki/Cantor's_theorem

    Without proper rendering support, you may see question marks, boxes, or other symbols. In mathematical set theory, Cantor's theorem is a fundamental result which states that, for any set , the set of all subsets of known as the power set of has a strictly greater cardinality than itself. For finite sets, Cantor's theorem can be seen to be true ...

  7. Two's complement - Wikipedia

    en.wikipedia.org/wiki/Two's_complement

    Two's complement is the most common method of representing signed (positive, negative, and zero) integers on computers, [1] and more generally, fixed point binary values. Two's complement uses the binary digit with the greatest value as the sign to indicate whether the binary number is positive or negative; when the most significant bit is 1 the number is signed as negative and when the most ...

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  9. Slang terms for money - Wikipedia

    en.wikipedia.org/wiki/Slang_terms_for_money

    A bit is an antiquated term equal to one eighth of a dollar or 12 + 12 cents, after the Spanish 8-Real "piece of eight" coin on which the U.S. dollar was initially based. So "two bits" is twenty-five cents; similarly, "four bits" is fifty cents. More rare are "six bits" (75 cents) and "eight bits" meaning a dollar.