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Many computer systems provide a calculator utility capable of performing conversions between the various radices frequently including hexadecimal. In Microsoft Windows , the Calculator utility can be set to Programmer mode, which allows conversions between radix 16 (hexadecimal), 10 (decimal), 8 ( octal ), and 2 ( binary ), the bases most ...
This is because the radix of the hexadecimal system (16) is a power of the radix of the binary system (2). More specifically, 16 = 2 4, so it takes four digits of binary to represent one digit of hexadecimal, as shown in the adjacent table. To convert a hexadecimal number into its binary equivalent, simply substitute the corresponding binary ...
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 the range for one packed BCD byte is zero through ninety-nine inclusive.
Octal ( base 8) is a numeral system with eight as the base . In the decimal system, each place is a power of ten. For example: In the octal system, each place is a power of eight. For example: By performing the calculation above in the familiar decimal system, we see why 112 in octal is equal to in decimal.
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:
Double dabble. In computer science, the double dabble algorithm is used to convert binary numbers into binary-coded decimal (BCD) notation. [1] [2] It is also known as the shift-and-add -3 algorithm, and can be implemented using a small number of gates in computer hardware, but at the expense of high latency. [3]
In a positional numeral system, the radix ( pl.: radices) or base is the number of unique digits, including the digit zero, used to represent numbers. For example, for the decimal system (the most common system in use today) the radix is ten, because it uses the ten digits from 0 through 9. In any standard positional numeral system, a number is ...
Mobile equipment identifier. A mobile equipment identifier (MEID) is a globally unique number identifying a physical piece of CDMA2000 mobile station equipment. The number format is defined by the 3GPP2 report S.R0048 but in practical terms, it can be seen as an IMEI but with hexadecimal digits. Regional code. Manufacturer code. Serial number. CD.