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In the decimal system, there are 10 digits, 0 through 9, which combine to form numbers. In an octal system, there are only 8 digits, 0 through 7. That is, the value of an octal "10" is the same as a decimal "8", an octal "20" is a decimal "16", and so on. In a hexadecimal system, there are 16 digits, 0 through 9 followed, by convention, with A ...
In the early days of computing, it was used for differing numbers of bits based on convention and computer hardware design, but today means 8 bits. A more accurate, but less commonly used name for 8 bits is octet. Commonly, a decimal SI metric prefix (such as kilo-) is used with bit and byte to express larger sizes (kilobit, kilobyte). But ...
Octets can be represented using number systems of varying bases such as the hexadecimal, decimal, or octal number systems. 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 ...
Lawsuits arising from alleged consumer confusion over the binary and decimal definitions of multiples of the byte have generally ended in favor of the manufacturers, with courts holding that the legal definition of gigabyte or GB is 1 GB = 1 000 000 000 (10 9) bytes (the decimal definition), rather than the binary definition (2 30, i.e., 1 073 ...
An 8-bit register can store 2 8 different values. The range of integer values that can be stored in 8 bits depends on the integer representation used. With the two most common representations, the range is 0 through 255 (2 8 − 1) for representation as an binary number, and −128 (−1 × 2 7) through 127 (2 7 − 1) for representation as two's complement.
All integers with seven or fewer decimal digits, and any 2 n for a whole number −149 ≤ n ≤ 127, can be converted exactly into an IEEE 754 single-precision floating-point value. In the IEEE 754 standard , the 32-bit base-2 format is officially referred to as binary32 ; it was called single in IEEE 754-1985 .
In both cases, the LSb and MSb correlate directly to the least significant digit and most significant digit of a decimal integer. Bit indexing correlates to the positional notation of the value in base 2. 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 ...
As an example, encoding the decimal number 91 using unpacked BCD results in the following binary pattern of two bytes: Decimal: 9 1 Binary : 0000 1001 0000 0001 In packed BCD, the same number would fit into a single byte: Decimal: 9 1 Binary : 1001 0001 Hence the numerical range for one unpacked BCD byte is zero through nine inclusive, whereas ...