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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:
Most significant bit first means that the most significant bit will arrive first: hence e.g. the hexadecimal number 0x12, 00010010 in binary representation, will arrive as the sequence 0 0 0 1 0 0 1 0. Least significant bit first means that the least significant bit will arrive first: hence e.g. the same hexadecimal number 0x12, again 00010010 ...
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. Four-bit computers use nibble-sized data for storage and operations; as the word unit.
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.
With 4 bits, it is possible to create 16 different values. All single-digit hexadecimal numbers can be written with four bits. Binary-coded decimal is a digital encoding method for numbers using decimal notation, with each decimal digit represented by four bits.
A four-bit quantity is known as a nibble (when eating, being smaller than a bite) or nybble (being a pun on the form of the word byte). One nibble corresponds to one digit in hexadecimal and holds one digit or a sign code in binary-coded decimal.
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: 3 bits – a triad(e), (a.k.a. tribit) the size of an octal digit 2 2: nibble