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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.
The number is, by default, formatted with a final subscript 16 to display the base. An optional second parameter of |hex will replace the base with "hex". To opt out of the subscript, use a second parameter of |no (or equivalently |none ), which also forces the display of at least two hexadecimal digits (instead of just one for values lower ...
It may be a number instead, if the input base is 10. base - (required) the base to which the number should be converted. May be between 2 and 36, inclusive. from - the base of the input. Defaults to 10 (or 16 if the input has a leading '0x'). Note that bases other than 10 are not supported if the input has a fractional part.
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:
The conversion to a base of an integer n represented in base can be done by a succession of Euclidean divisions by : the right-most digit in base is the remainder of the division of n by ; the second right-most digit is the remainder of the division of the quotient by , and so on. The left-most digit is the last quotient.
"A base is a natural number B whose powers (B multiplied by itself some number of times) are specially designated within a numerical system." [1]: 38 The term is not equivalent to radix, as it applies to all numerical notation systems (not just positional ones with a radix) and most systems of spoken numbers. [1]
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The number is, by default, formatted with a final subscript 16 to display the base. An optional second parameter of |hex will replace the base with "hex". To opt out of the subscript, use a second parameter of |no (or equivalently |none ), which also forces the display of at least two hexadecimal digits (instead of just one for values lower ...