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Each hexadecimal digit represents four bits (binary digits), also known as a nibble (or nybble). [1] For example, an 8-bit byte is two hexadecimal digits and its value can be written as 00 to FF in hexadecimal. In mathematics, a subscript is typically used to specify the base. For example, the decimal value 711 would be expressed in hexadecimal ...
Each of these number systems is a positional system, but while decimal weights are powers of 10, the octal weights are powers of 8 and the hexadecimal weights are powers of 16. To convert from hexadecimal or octal to decimal, for each digit one multiplies the value of the digit by the value of its position and then adds the results. For example:
Hextet would more properly describe a 6-bit aggregation, whereas the exact term for 16 bits should be hexadectet, directly related to the term octet (for 8 bits). However, because it is harder to pronounce, the short form hextet is used—in analogy to how hex is commonly used as an abbreviation for hexadecimal in computing.
[5] [6] In networking or telecommunications, the unit is often called a semi-octet, [7] quadbit, [8] or quartet. [9] [10] As a nibble can represent sixteen (2 4) possible values, a nibble value is often shown as a hexadecimal digit (hex digit). [11]. A byte is two nibbles, and therefore, a value can be shown as two hex digits.
Octal became widely used in computing when systems such as the UNIVAC 1050, PDP-8, ICL 1900 and IBM mainframes employed 6-bit, 12-bit, 24-bit or 36-bit words. Octal was an ideal abbreviation of binary for these machines because their word size is divisible by three (each octal digit represents three binary digits).
The binary value of all eight bits set (or activated) is 11111111 2, equal to the hexadecimal value FF 16, the decimal value 255 10, and the octal value 377 8. One octet can be used to represent decimal values ranging from 0 to 255. The term octet (symbol: o [nb 1]) is often used when the use of byte might be ambiguous.
1 bit – 0 or 1, false or true, Low or High (a.k.a. unibit) 1.442695 bits (log 2 e) – approximate size of a nat (a unit of information based on natural logarithms) 1.5849625 bits (log 2 3) – approximate size of a trit (a base-3 digit) 2 1: 2 bits – a crumb (a.k.a. dibit) enough to uniquely identify one base pair of DNA
There are many character sets and many character encodings for them. Binary to Hexadecimal or Decimal. A bit string, interpreted as a binary number, can be translated into a decimal number. For example, the lower case a, if represented by the bit string 01100001 (as it is in the standard ASCII code), can also be represented as the decimal ...