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  2. Binary-coded decimal - Wikipedia

    en.wikipedia.org/wiki/Binary-coded_decimal

    Therefore, a word of n bytes can contain up to (2n)−1 decimal digits, which is always an odd number of digits. A decimal number with d digits requires ⁠ 1 / 2 ⁠ (d+1) bytes of storage space. For example, a 4-byte (32-bit) word can hold seven decimal digits plus a sign and can represent values ranging from ±9,999,999.

  3. Double dabble - Wikipedia

    en.wikipedia.org/wiki/Double_dabble

    In computer science, the double dabble algorithm is used to convert binary numbers into binary-coded decimal (BCD) notation. [1] [2] It is also known as the shift-and-add-3 algorithm, and can be implemented using a small number of gates in computer hardware, but at the expense of high latency. [3]

  4. 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 ...

  5. Binary integer decimal - Wikipedia

    en.wikipedia.org/wiki/Binary_Integer_Decimal

    Using the fact that 2 10 = 1024 is only slightly more than 10 3 = 1000, 3n-digit decimal numbers can be efficiently packed into 10n binary bits. However, the IEEE formats have significands of 3 n +1 digits, which would generally require 10 n +4 binary bits to represent.

  6. 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 ...

  7. Binary data - Wikipedia

    en.wikipedia.org/wiki/Binary_data

    For example, if the values are A and B, then the data set A, A, B can be represented in counts as (1, 0), (1, 0), (0, 1). Once converted to counts, binary data can be grouped and the counts added. For instance, if the set A, A, B is grouped, the total counts are (2, 1): 2 A's and 1 B (out of 3 trials).

  8. Densely packed decimal - Wikipedia

    en.wikipedia.org/wiki/Densely_packed_decimal

    Densely packed decimal (DPD) is an efficient method for binary encoding decimal digits.. The traditional system of binary encoding for decimal digits, known as binary-coded decimal (BCD), uses four bits to encode each digit, resulting in significant wastage of binary data bandwidth (since four bits can store 16 states and are being used to store only 10), even when using packed BCD.

  9. Numeral system - Wikipedia

    en.wikipedia.org/wiki/Numeral_system

    By using a dot to divide the digits into two groups, one can also write fractions in the positional system. For example, the base 2 numeral 10.11 denotes 1×2 1 + 0×2 0 + 1×21 + 1×22 = 2.75. In general, numbers in the base b system are of the form: