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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 .
A system with 8 possible states, for example, can store up to log 2 8 = 3 bits of information. Other units that have been named include: Base b = 3 the unit is called "trit", and is equal to log 2 3 (≈ 1.585) bits. [3] Base b = 10 the unit is called decimal digit, hartley, ban, decit, or dit, and is equal to log 2 10 (≈ 3.322) bits. [1] [4 ...
The bit is the most basic unit of information in computing and digital communication. The name is a portmanteau of binary digit. [1] The bit represents a logical state with one of two possible values. These values are most commonly represented as either " 1" or "0 ", but other representations such as true/false, yes/no, on/off, or +/− are ...
For instance, using a 32-bit format, 16 bits may be used for the integer and 16 for the fraction. The eight's bit is followed by the four's bit, then the two's bit, then the one's bit. The fractional bits continue the pattern set by the integer bits. The next bit is the half's bit, then the quarter's bit, then the ⅛'s bit, and so on. For example:
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.
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The gain in range and precision by the 'combination encoding' evolves because the taken 2 bits from the exponent only use three states, and the 4 MSBs of the significand stay within 0000 … 1001 (10 states).
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.