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  2. Binary number - Wikipedia

    en.wikipedia.org/wiki/Binary_number

    A binary number is a number expressed in the base-2 numeral system or binary numeral ... For example, the binary number 100101 is converted to decimal form as follows:

  3. List of binary codes - Wikipedia

    en.wikipedia.org/wiki/List_of_binary_codes

    This is a list of some binary codes that are (or have been) used to represent text as a sequence of binary digits "0" and "1". Fixed-width binary codes use a set number of bits to represent each character in the text, while in variable-width binary codes, the number of bits may vary from character to character.

  4. Binary code - Wikipedia

    en.wikipedia.org/wiki/Binary_code

    The modern binary number system, the basis for binary code, is an invention by Gottfried Leibniz in 1689 and appears in his article Explication de l'Arithmétique Binaire (English: Explanation of the Binary Arithmetic) which uses only the characters 1 and 0, and some remarks on its usefulness. Leibniz's system uses 0 and 1, like the modern ...

  5. Bit numbering - Wikipedia

    en.wikipedia.org/wiki/Bit_numbering

    This table illustrates an example of decimal value of 149 and the location of LSb. In this particular example, the position of unit value (decimal 1 or 0) is located in bit position 0 (n = 0). MSb stands for most significant bit , while LSb stands for least significant bit .

  6. Binary data - Wikipedia

    en.wikipedia.org/wiki/Binary_data

    A collection of n bits may have 2 n states: see binary number for details. Number of states of a collection of discrete variables depends exponentially on the number of variables, and only as a power law on number of states of each variable. Ten bits have more states than three decimal digits .

  7. Binary-coded decimal - Wikipedia

    en.wikipedia.org/wiki/Binary-coded_decimal

    10001 is the binary, not decimal, representation of the desired result, but the most significant 1 (the "carry") cannot fit in a 4-bit binary number. In BCD as in decimal, there cannot exist a value greater than 9 (1001) per digit. To correct this, 6 (0110) is added to the total, and then the result is treated as two nibbles:

  8. Signed number representations - Wikipedia

    en.wikipedia.org/wiki/Signed_number_representations

    For example, in an eight-bit byte, only seven bits represent the magnitude, which can range from 0000000 (0) to 1111111 (127). Thus numbers ranging from −127 10 to +127 10 can be represented once the sign bit (the eighth bit) is added. For example, −43 10 encoded in an eight-bit byte is 10101011 while 43 10 is 00101011.

  9. Binary - Wikipedia

    en.wikipedia.org/wiki/Binary

    Binary function, a function that takes two arguments; Binary operation, a mathematical operation that takes two arguments; Binary relation, a relation involving two elements; Binary-coded decimal, a method for encoding for decimal digits in binary sequences; Finger binary, a system for counting in binary numbers on the fingers of human hands