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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 ...
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.
This is because a 4-bit value holds a single binary coded decimal (BCD) digit, making it a natural size for directly processing decimal values. As a 4-bit value is generally too small to hold a memory address for real-world programs or data, the address bus of these systems was generally larger. For instance, the canonical 4-bit microprocessor ...
The nibble, 4 bits, represents the value of a single hexadecimal digit. The byte , 8 bits, 2 nibbles, is possibly the most commonly known and used base unit to describe data size. The word is a size that varies by and has a special importance for a particular hardware context.
While a single bit, on its own, is able to represent only two values, a string of bits may be used to represent larger values. For example, a string of three bits can represent up to eight distinct values as illustrated in Table 1. As the number of bits composing a string increases, the number of possible 0 and 1 combinations increases ...
Systems with a 12-bit RGB palette use 4 bits for each of the red, green, and blue color components. This results in a (2 4) 3 = 16 3 = 4096-color palette. 12-bit color can be represented with three hexadecimal digits, also known as shorthand hexadecimal form, which is commonly used in web design. The palette is as follows:
The reason for adding 6 is that there are 16 possible 4-bit BCD values (since 2 4 = 16), but only 10 values are valid (0000 through 1001). For example: 1001 + 1000 = 10001 9 + 8 = 17 10001 is the binary, not decimal, representation of the desired result, but the most significant 1 (the "carry") cannot fit in a 4-bit binary number.
Since four bits (2 4) can hold 16 values, this means hexadecimal (hex) digits can be represented by four bits too. [23] Since there are a limited number of segments in seven-segment displays, a couple of the hexadecimal digits are required to be displayed as lowercase letters, otherwise the uppercase letter "B" would be the same as the digit "8 ...