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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:
Hexadecimal (also known as base-16 or simply hex) is a positional numeral system that represents numbers using a radix (base) of sixteen. Unlike the decimal system representing numbers using ten symbols, hexadecimal uses sixteen distinct symbols, most often the symbols "0"–"9" to represent values 0 to 9 and "A"–"F" to represent values from ten to fifteen.
Use: {{Hexadecimal|x}} where x is the decimal number to be converted to a hexadecimal. Decimals and fractions will be rounded down. Decimals and fractions will be rounded down. The number is, by default, formatted with a final subscript 16 to display the base.
To convert a number k to decimal, use the formula that defines its base-8 representation: = = In this formula, a i is an individual octal digit being converted, where i is the position of the digit (counting from 0 for the right-most digit). Example: Convert 764 8 to decimal:
The F16C extension in 2012 allows x86 processors to convert half-precision floats to and from single-precision ... (2 11) ≈ 3.311 decimal ... Hex Value Notes 0 ...
Use: {{Hexadecimal|x}} where x is the decimal number to be converted to a hexadecimal. Decimals and fractions will be rounded down. Decimals and fractions will be rounded down. The number is, by default, formatted with a final subscript 16 to display the base.
For example, you might use a prefix of 0x when converting to hex, or a suffix of <sub>8</sub> when converting to octal. From templates In wikimarkup, this module may be called with a function name n to m , e.g.:
28 hexadecimal digits of precision is roughly equivalent to 32 decimal digits. A conversion of extended precision HFP to decimal string would require at least 35 significant digits in order to convert back to the same HFP value. The stored exponent in the low-order part is 14 less than the high-order part, unless this would be less than zero.