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$ 1 ⁄ 8 or 1 silver real was 1 "bit". [1] [2] With the adoption of the decimal U.S. currency in 1794, there was no longer a U.S. coin worth $ 1 ⁄ 8, but "two bits" remained in the language with the meaning of $ 1 ⁄ 4. Because there was no 1-bit coin, a dime (10¢) was sometimes called a short bit and 15¢ a long bit.
However, a binary number system with base −2 is also possible. The rightmost bit represents (−2) 0 = +1, the next bit represents (−2) 1 = −2, the next bit (−2) 2 = +4 and so on, with alternating sign. The numbers that can be represented with four bits are shown in the comparison table below.
A bit array (also known as bitmask, [1] bit map, bit set, bit string, or bit vector) is an array data structure that compactly stores bits. It can be used to implement a simple set data structure . A bit array is effective at exploiting bit-level parallelism in hardware to perform operations quickly.
For this reason, bit index is not affected by how the value is stored on the device, such as the value's byte order. Rather, it is a property of the numeric value in binary itself. This is often utilized in programming via bit shifting: A value of 1 << n corresponds to the n th bit of a binary integer (with a value of 2 n).
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 ...
A discrete variable that can take only one state contains zero information, and 2 is the next natural number after 1. That is why the bit, a variable with only two possible values, is a standard primary unit of information. A collection of n bits may have 2 n states: see binary number for details.
For binary hardware, by far the most common hardware today, the smallest unit is the bit, a portmanteau of binary digit, [1] which represents a value that is one of two possible values; typically shown as 0 and 1. The nibble, 4 bits, represents the value of a single hexadecimal digit.
To determine if a number is a power of two, conceptually we may repeatedly do integer divide by two until the number won't divide by 2 evenly; if the only factor left is 1, the original number was a power of 2.